I'm trying to extract the real and imaginary parts of a given PDE. However, during the substitution step, something unexpected occurs. Specifically, my replacement does not yield the expected result, and an extra term appears: D(k)(t*w + x) in the expression P11. I'm unsure why this term arises and would appreciate any insight into what might be going wrong during the substitution process.
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![pde := I*(diff(u(x, t), `$`(t, 2))-s^2*(diff(u(x, t), `$`(x, 2))))+(1/24)*c[1]*(diff(u(x, t), t, `$`(x, 4)))-alpha*s*c[1]*(diff(u(x, t), `$`(x, 5)))+diff(c[2]*u(x, t)*U(-t*v+x)^2+c[3]*u(x, t)*U(-t*v+x)^4+c[4]*u(x, t)*(diff(U(-t*v+x)^2, `$`(x, 2))), t)-beta*s*(diff(u(x, t), `$`(x, 5)))+diff(c[2]*u(x, t)*U(-t*v+x)^2+c[3]*u(x, t)*U(-t*v+x)^4+c[4]*u(x, t)*(diff(U(-t*v+x)^2, `$`(x, 2))), x)](/view.aspx?sf=240334_question/cec6d528cecda08cb77daf09cae3c5c0.gif)
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![I*(diff(diff(u(x, t), t), t)-s^2*(diff(diff(u(x, t), x), x)))+(1/24)*c[1]*(diff(diff(diff(diff(diff(u(x, t), t), x), x), x), x))-alpha*s*c[1]*(diff(diff(diff(diff(diff(u(x, t), x), x), x), x), x))+c[2]*(diff(u(x, t), t))*U(-t*v+x)^2-2*c[2]*u(x, t)*U(-t*v+x)*(D(U))(-t*v+x)*v+c[3]*(diff(u(x, t), t))*U(-t*v+x)^4-4*c[3]*u(x, t)*U(-t*v+x)^3*(D(U))(-t*v+x)*v+c[4]*(diff(u(x, t), t))*(2*(D(U))(-t*v+x)^2+2*U(-t*v+x)*((D@@2)(U))(-t*v+x))+c[4]*u(x, t)*(-6*(D(U))(-t*v+x)*((D@@2)(U))(-t*v+x)*v-2*U(-t*v+x)*((D@@3)(U))(-t*v+x)*v)-beta*s*(diff(diff(diff(diff(diff(u(x, t), x), x), x), x), x))+c[2]*(diff(u(x, t), x))*U(-t*v+x)^2+2*c[2]*u(x, t)*U(-t*v+x)*(D(U))(-t*v+x)+c[3]*(diff(u(x, t), x))*U(-t*v+x)^4+4*c[3]*u(x, t)*U(-t*v+x)^3*(D(U))(-t*v+x)+c[4]*(diff(u(x, t), x))*(2*(D(U))(-t*v+x)^2+2*U(-t*v+x)*((D@@2)(U))(-t*v+x))+c[4]*u(x, t)*(6*(D(U))(-t*v+x)*((D@@2)(U))(-t*v+x)+2*U(-t*v+x)*((D@@3)(U))(-t*v+x))](/view.aspx?sf=240334_question/56258631a25ad94f2b82aec0da25b20e.gif)
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![P1 := I*(diff(u(x, t), `$`(t, 2))-s^2*(diff(u(x, t), `$`(x, 2))))+(1/24)*c[1]*(diff(u(x, t), t, `$`(x, 4)))-alpha*s*c[1]*(diff(u(x, t), `$`(x, 5)))+diff(c[2]*u(x, t)*U(-t*v+x)^2+c[3]*u(x, t)*U(-t*v+x)^4+c[4]*u(x, t)*(diff(U(-t*v+x)^2, `$`(x, 2))), t)-beta*s*(diff(u(x, t), `$`(x, 5)))+diff(c[2]*u(x, t)*U(-t*v+x)^2+c[3]*u(x, t)*U(-t*v+x)^4+c[4]*u(x, t)*(diff(U(-t*v+x)^2, `$`(x, 2))), x)](/view.aspx?sf=240334_question/afba1863ba22c60c266f786ca8b8687b.gif)
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![I*(diff(diff(u(x, t), t), t)-s^2*(diff(diff(u(x, t), x), x)))+(1/24)*c[1]*(diff(diff(diff(diff(diff(u(x, t), t), x), x), x), x))-alpha*s*c[1]*(diff(diff(diff(diff(diff(u(x, t), x), x), x), x), x))+c[2]*(diff(u(x, t), t))*U(-t*v+x)^2-2*c[2]*u(x, t)*U(-t*v+x)*(D(U))(-t*v+x)*v+c[3]*(diff(u(x, t), t))*U(-t*v+x)^4-4*c[3]*u(x, t)*U(-t*v+x)^3*(D(U))(-t*v+x)*v+c[4]*(diff(u(x, t), t))*(2*(D(U))(-t*v+x)^2+2*U(-t*v+x)*((D@@2)(U))(-t*v+x))+c[4]*u(x, t)*(-6*(D(U))(-t*v+x)*((D@@2)(U))(-t*v+x)*v-2*U(-t*v+x)*((D@@3)(U))(-t*v+x)*v)-beta*s*(diff(diff(diff(diff(diff(u(x, t), x), x), x), x), x))+c[2]*(diff(u(x, t), x))*U(-t*v+x)^2+2*c[2]*u(x, t)*U(-t*v+x)*(D(U))(-t*v+x)+c[3]*(diff(u(x, t), x))*U(-t*v+x)^4+4*c[3]*u(x, t)*U(-t*v+x)^3*(D(U))(-t*v+x)+c[4]*(diff(u(x, t), x))*(2*(D(U))(-t*v+x)^2+2*U(-t*v+x)*((D@@2)(U))(-t*v+x))+c[4]*u(x, t)*(6*(D(U))(-t*v+x)*((D@@2)(U))(-t*v+x)+2*U(-t*v+x)*((D@@3)(U))(-t*v+x))](/view.aspx?sf=240334_question/6895ba28009532b94d451046908ba2dd.gif)
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![I*(((D@@2)(U))(-t*v+x)*v^2*exp(I*k(t*w+x))-(2*I)*(D(U))(-t*v+x)*v*(D(k))(t*w+x)*w*exp(I*k(t*w+x))+I*U(-t*v+x)*((D@@2)(k))(t*w+x)*w^2*exp(I*k(t*w+x))-U(-t*v+x)*(D(k))(t*w+x)^2*w^2*exp(I*k(t*w+x))-s^2*(((D@@2)(U))(-t*v+x)*exp(I*k(t*w+x))+(2*I)*(D(U))(-t*v+x)*(D(k))(t*w+x)*exp(I*k(t*w+x))+I*U(-t*v+x)*((D@@2)(k))(t*w+x)*exp(I*k(t*w+x))-U(-t*v+x)*(D(k))(t*w+x)^2*exp(I*k(t*w+x))))+(1/24)*c[1]*(6*((D@@3)(U))(-t*v+x)*v*(D(k))(t*w+x)^2*exp(I*k(t*w+x))-4*((D@@3)(U))(-t*v+x)*(D(k))(t*w+x)^2*w*exp(I*k(t*w+x))+4*(D(U))(-t*v+x)*(D(k))(t*w+x)^4*w*exp(I*k(t*w+x))-(D(U))(-t*v+x)*v*(D(k))(t*w+x)^4*exp(I*k(t*w+x))+I*U(-t*v+x)*(D(k))(t*w+x)^5*w*exp(I*k(t*w+x))-(24*I)*(D(U))(-t*v+x)*(D(k))(t*w+x)^2*w*exp(I*k(t*w+x))*((D@@2)(k))(t*w+x)-(10*I)*U(-t*v+x)*((D@@3)(k))(t*w+x)*w*(D(k))(t*w+x)^2*exp(I*k(t*w+x))-(15*I)*U(-t*v+x)*((D@@2)(k))(t*w+x)^2*w*(D(k))(t*w+x)*exp(I*k(t*w+x))+(6*I)*(D(U))(-t*v+x)*v*(D(k))(t*w+x)^2*exp(I*k(t*w+x))*((D@@2)(k))(t*w+x)+12*((D@@2)(U))(-t*v+x)*v*(D(k))(t*w+x)*exp(I*k(t*w+x))*((D@@2)(k))(t*w+x)-18*((D@@2)(U))(-t*v+x)*(D(k))(t*w+x)*w*exp(I*k(t*w+x))*((D@@2)(k))(t*w+x)+10*U(-t*v+x)*(D(k))(t*w+x)^3*w*exp(I*k(t*w+x))*((D@@2)(k))(t*w+x)+I*((D@@4)(U))(-t*v+x)*(D(k))(t*w+x)*w*exp(I*k(t*w+x))-16*(D(U))(-t*v+x)*((D@@3)(k))(t*w+x)*w*(D(k))(t*w+x)*exp(I*k(t*w+x))-12*(D(U))(-t*v+x)*((D@@2)(k))(t*w+x)^2*w*exp(I*k(t*w+x))-5*U(-t*v+x)*((D@@4)(k))(t*w+x)*w*(D(k))(t*w+x)*exp(I*k(t*w+x))-10*U(-t*v+x)*((D@@3)(k))(t*w+x)*w*((D@@2)(k))(t*w+x)*exp(I*k(t*w+x))+I*U(-t*v+x)*((D@@5)(k))(t*w+x)*w*exp(I*k(t*w+x))-I*(D(U))(-t*v+x)*v*((D@@4)(k))(t*w+x)*exp(I*k(t*w+x))+3*(D(U))(-t*v+x)*v*((D@@2)(k))(t*w+x)^2*exp(I*k(t*w+x))+(4*I)*((D@@3)(U))(-t*v+x)*((D@@2)(k))(t*w+x)*w*exp(I*k(t*w+x))-(6*I)*((D@@2)(U))(-t*v+x)*(D(k))(t*w+x)^3*w*exp(I*k(t*w+x))-(6*I)*((D@@3)(U))(-t*v+x)*v*((D@@2)(k))(t*w+x)*exp(I*k(t*w+x))-(4*I)*((D@@2)(U))(-t*v+x)*v*((D@@3)(k))(t*w+x)*exp(I*k(t*w+x))+(6*I)*((D@@2)(U))(-t*v+x)*((D@@3)(k))(t*w+x)*w*exp(I*k(t*w+x))+(4*I)*(D(U))(-t*v+x)*((D@@4)(k))(t*w+x)*w*exp(I*k(t*w+x))+(4*I)*((D@@2)(U))(-t*v+x)*v*(D(k))(t*w+x)^3*exp(I*k(t*w+x))-(4*I)*((D@@4)(U))(-t*v+x)*v*(D(k))(t*w+x)*exp(I*k(t*w+x))+4*(D(U))(-t*v+x)*v*((D@@3)(k))(t*w+x)*(D(k))(t*w+x)*exp(I*k(t*w+x))-((D@@5)(U))(-t*v+x)*v*exp(I*k(t*w+x)))-alpha*s*c[1]*(I*U(-t*v+x)*((D@@5)(k))(t*w+x)*exp(I*k(t*w+x))+(10*I)*((D@@2)(U))(-t*v+x)*((D@@3)(k))(t*w+x)*exp(I*k(t*w+x))-(10*I)*((D@@2)(U))(-t*v+x)*(D(k))(t*w+x)^3*exp(I*k(t*w+x))-(30*I)*(D(U))(-t*v+x)*(D(k))(t*w+x)^2*exp(I*k(t*w+x))*((D@@2)(k))(t*w+x)+(5*I)*((D@@4)(U))(-t*v+x)*(D(k))(t*w+x)*exp(I*k(t*w+x))-10*U(-t*v+x)*((D@@3)(k))(t*w+x)*((D@@2)(k))(t*w+x)*exp(I*k(t*w+x))-15*(D(U))(-t*v+x)*((D@@2)(k))(t*w+x)^2*exp(I*k(t*w+x))+10*U(-t*v+x)*(D(k))(t*w+x)^3*exp(I*k(t*w+x))*((D@@2)(k))(t*w+x)+(5*I)*(D(U))(-t*v+x)*((D@@4)(k))(t*w+x)*exp(I*k(t*w+x))-5*U(-t*v+x)*((D@@4)(k))(t*w+x)*(D(k))(t*w+x)*exp(I*k(t*w+x))-20*(D(U))(-t*v+x)*((D@@3)(k))(t*w+x)*(D(k))(t*w+x)*exp(I*k(t*w+x))-30*((D@@2)(U))(-t*v+x)*(D(k))(t*w+x)*exp(I*k(t*w+x))*((D@@2)(k))(t*w+x)-(10*I)*U(-t*v+x)*((D@@3)(k))(t*w+x)*(D(k))(t*w+x)^2*exp(I*k(t*w+x))-(15*I)*U(-t*v+x)*((D@@2)(k))(t*w+x)^2*(D(k))(t*w+x)*exp(I*k(t*w+x))+I*U(-t*v+x)*(D(k))(t*w+x)^5*exp(I*k(t*w+x))+(10*I)*((D@@3)(U))(-t*v+x)*((D@@2)(k))(t*w+x)*exp(I*k(t*w+x))+((D@@5)(U))(-t*v+x)*exp(I*k(t*w+x))+5*(D(U))(-t*v+x)*(D(k))(t*w+x)^4*exp(I*k(t*w+x))-10*((D@@3)(U))(-t*v+x)*(D(k))(t*w+x)^2*exp(I*k(t*w+x)))+c[2]*(-(D(U))(-t*v+x)*v*exp(I*k(t*w+x))+I*U(-t*v+x)*(D(k))(t*w+x)*w*exp(I*k(t*w+x)))*U(-t*v+x)^2-2*c[2]*U(-t*v+x)^2*exp(I*k(t*w+x))*(D(U))(-t*v+x)*v+c[3]*(-(D(U))(-t*v+x)*v*exp(I*k(t*w+x))+I*U(-t*v+x)*(D(k))(t*w+x)*w*exp(I*k(t*w+x)))*U(-t*v+x)^4-4*c[3]*U(-t*v+x)^4*exp(I*k(t*w+x))*(D(U))(-t*v+x)*v+c[4]*(-(D(U))(-t*v+x)*v*exp(I*k(t*w+x))+I*U(-t*v+x)*(D(k))(t*w+x)*w*exp(I*k(t*w+x)))*(2*(D(U))(-t*v+x)^2+2*U(-t*v+x)*((D@@2)(U))(-t*v+x))+c[4]*U(-t*v+x)*exp(I*k(t*w+x))*(-6*(D(U))(-t*v+x)*((D@@2)(U))(-t*v+x)*v-2*U(-t*v+x)*((D@@3)(U))(-t*v+x)*v)-beta*s*(I*U(-t*v+x)*((D@@5)(k))(t*w+x)*exp(I*k(t*w+x))+(10*I)*((D@@2)(U))(-t*v+x)*((D@@3)(k))(t*w+x)*exp(I*k(t*w+x))-(10*I)*((D@@2)(U))(-t*v+x)*(D(k))(t*w+x)^3*exp(I*k(t*w+x))-(30*I)*(D(U))(-t*v+x)*(D(k))(t*w+x)^2*exp(I*k(t*w+x))*((D@@2)(k))(t*w+x)+(5*I)*((D@@4)(U))(-t*v+x)*(D(k))(t*w+x)*exp(I*k(t*w+x))-10*U(-t*v+x)*((D@@3)(k))(t*w+x)*((D@@2)(k))(t*w+x)*exp(I*k(t*w+x))-15*(D(U))(-t*v+x)*((D@@2)(k))(t*w+x)^2*exp(I*k(t*w+x))+10*U(-t*v+x)*(D(k))(t*w+x)^3*exp(I*k(t*w+x))*((D@@2)(k))(t*w+x)+(5*I)*(D(U))(-t*v+x)*((D@@4)(k))(t*w+x)*exp(I*k(t*w+x))-5*U(-t*v+x)*((D@@4)(k))(t*w+x)*(D(k))(t*w+x)*exp(I*k(t*w+x))-20*(D(U))(-t*v+x)*((D@@3)(k))(t*w+x)*(D(k))(t*w+x)*exp(I*k(t*w+x))-30*((D@@2)(U))(-t*v+x)*(D(k))(t*w+x)*exp(I*k(t*w+x))*((D@@2)(k))(t*w+x)-(10*I)*U(-t*v+x)*((D@@3)(k))(t*w+x)*(D(k))(t*w+x)^2*exp(I*k(t*w+x))-(15*I)*U(-t*v+x)*((D@@2)(k))(t*w+x)^2*(D(k))(t*w+x)*exp(I*k(t*w+x))+I*U(-t*v+x)*(D(k))(t*w+x)^5*exp(I*k(t*w+x))+(10*I)*((D@@3)(U))(-t*v+x)*((D@@2)(k))(t*w+x)*exp(I*k(t*w+x))+((D@@5)(U))(-t*v+x)*exp(I*k(t*w+x))+5*(D(U))(-t*v+x)*(D(k))(t*w+x)^4*exp(I*k(t*w+x))-10*((D@@3)(U))(-t*v+x)*(D(k))(t*w+x)^2*exp(I*k(t*w+x)))+c[2]*((D(U))(-t*v+x)*exp(I*k(t*w+x))+I*U(-t*v+x)*(D(k))(t*w+x)*exp(I*k(t*w+x)))*U(-t*v+x)^2+2*c[2]*U(-t*v+x)^2*exp(I*k(t*w+x))*(D(U))(-t*v+x)+c[3]*((D(U))(-t*v+x)*exp(I*k(t*w+x))+I*U(-t*v+x)*(D(k))(t*w+x)*exp(I*k(t*w+x)))*U(-t*v+x)^4+4*c[3]*U(-t*v+x)^4*exp(I*k(t*w+x))*(D(U))(-t*v+x)+c[4]*((D(U))(-t*v+x)*exp(I*k(t*w+x))+I*U(-t*v+x)*(D(k))(t*w+x)*exp(I*k(t*w+x)))*(2*(D(U))(-t*v+x)^2+2*U(-t*v+x)*((D@@2)(U))(-t*v+x))+c[4]*U(-t*v+x)*exp(I*k(t*w+x))*(6*(D(U))(-t*v+x)*((D@@2)(U))(-t*v+x)+2*U(-t*v+x)*((D@@3)(U))(-t*v+x))](/view.aspx?sf=240334_question/572b6168000af588b57e7c7c824d67cf.gif)
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![I*((diff(diff(U(xi), xi), xi))*v^2*exp(I*k(t*w+x))-(2*I)*(diff(U(xi), xi))*v*(D(k))(t*w+x)*w*exp(I*k(t*w+x))+I*U(xi)*((D@@2)(k))(t*w+x)*w^2*exp(I*k(t*w+x))-U(xi)*(D(k))(t*w+x)^2*w^2*exp(I*k(t*w+x))-s^2*((diff(diff(U(xi), xi), xi))*exp(I*k(t*w+x))+(2*I)*(diff(U(xi), xi))*(D(k))(t*w+x)*exp(I*k(t*w+x))+I*U(xi)*((D@@2)(k))(t*w+x)*exp(I*k(t*w+x))-U(xi)*(D(k))(t*w+x)^2*exp(I*k(t*w+x))))+(1/24)*c[1]*(6*(diff(diff(diff(U(xi), xi), xi), xi))*v*(D(k))(t*w+x)^2*exp(I*k(t*w+x))-4*(diff(diff(diff(U(xi), xi), xi), xi))*(D(k))(t*w+x)^2*w*exp(I*k(t*w+x))+4*(diff(U(xi), xi))*(D(k))(t*w+x)^4*w*exp(I*k(t*w+x))-(diff(U(xi), xi))*v*(D(k))(t*w+x)^4*exp(I*k(t*w+x))-12*(diff(U(xi), xi))*((D@@2)(k))(t*w+x)^2*w*exp(I*k(t*w+x))+3*(diff(U(xi), xi))*v*((D@@2)(k))(t*w+x)^2*exp(I*k(t*w+x))+I*U(xi)*(D(k))(t*w+x)^5*w*exp(I*k(t*w+x))+12*(diff(diff(U(xi), xi), xi))*v*(D(k))(t*w+x)*exp(I*k(t*w+x))*((D@@2)(k))(t*w+x)-18*(diff(diff(U(xi), xi), xi))*(D(k))(t*w+x)*w*exp(I*k(t*w+x))*((D@@2)(k))(t*w+x)+10*U(xi)*(D(k))(t*w+x)^3*w*exp(I*k(t*w+x))*((D@@2)(k))(t*w+x)+I*(diff(diff(diff(diff(U(xi), xi), xi), xi), xi))*(D(k))(t*w+x)*w*exp(I*k(t*w+x))-16*(diff(U(xi), xi))*((D@@3)(k))(t*w+x)*w*(D(k))(t*w+x)*exp(I*k(t*w+x))-5*U(xi)*((D@@4)(k))(t*w+x)*w*(D(k))(t*w+x)*exp(I*k(t*w+x))-10*U(xi)*((D@@3)(k))(t*w+x)*w*((D@@2)(k))(t*w+x)*exp(I*k(t*w+x))+I*U(xi)*((D@@5)(k))(t*w+x)*w*exp(I*k(t*w+x))-I*(diff(U(xi), xi))*v*((D@@4)(k))(t*w+x)*exp(I*k(t*w+x))+(4*I)*(diff(diff(diff(U(xi), xi), xi), xi))*((D@@2)(k))(t*w+x)*w*exp(I*k(t*w+x))-(6*I)*(diff(diff(U(xi), xi), xi))*(D(k))(t*w+x)^3*w*exp(I*k(t*w+x))-(6*I)*(diff(diff(diff(U(xi), xi), xi), xi))*v*((D@@2)(k))(t*w+x)*exp(I*k(t*w+x))-(4*I)*(diff(diff(U(xi), xi), xi))*v*((D@@3)(k))(t*w+x)*exp(I*k(t*w+x))+(6*I)*(diff(diff(U(xi), xi), xi))*((D@@3)(k))(t*w+x)*w*exp(I*k(t*w+x))+(4*I)*(diff(U(xi), xi))*((D@@4)(k))(t*w+x)*w*exp(I*k(t*w+x))+(4*I)*(diff(diff(U(xi), xi), xi))*v*(D(k))(t*w+x)^3*exp(I*k(t*w+x))-(4*I)*(diff(diff(diff(diff(U(xi), xi), xi), xi), xi))*v*(D(k))(t*w+x)*exp(I*k(t*w+x))+4*(diff(U(xi), xi))*v*((D@@3)(k))(t*w+x)*(D(k))(t*w+x)*exp(I*k(t*w+x))-(diff(diff(diff(diff(diff(U(xi), xi), xi), xi), xi), xi))*v*exp(I*k(t*w+x))-(10*I)*U(xi)*((D@@3)(k))(t*w+x)*w*(D(k))(t*w+x)^2*exp(I*k(t*w+x))-(15*I)*U(xi)*((D@@2)(k))(t*w+x)^2*w*(D(k))(t*w+x)*exp(I*k(t*w+x))+(6*I)*(diff(U(xi), xi))*v*(D(k))(t*w+x)^2*exp(I*k(t*w+x))*((D@@2)(k))(t*w+x)-(24*I)*(diff(U(xi), xi))*(D(k))(t*w+x)^2*w*exp(I*k(t*w+x))*((D@@2)(k))(t*w+x))-alpha*s*c[1]*(-(30*I)*(diff(U(xi), xi))*(D(k))(t*w+x)^2*exp(I*k(t*w+x))*((D@@2)(k))(t*w+x)+(5*I)*(diff(U(xi), xi))*((D@@4)(k))(t*w+x)*exp(I*k(t*w+x))+I*U(xi)*(D(k))(t*w+x)^5*exp(I*k(t*w+x))+(10*I)*(diff(diff(diff(U(xi), xi), xi), xi))*((D@@2)(k))(t*w+x)*exp(I*k(t*w+x))+I*U(xi)*((D@@5)(k))(t*w+x)*exp(I*k(t*w+x))-10*U(xi)*((D@@3)(k))(t*w+x)*((D@@2)(k))(t*w+x)*exp(I*k(t*w+x))-15*(diff(U(xi), xi))*((D@@2)(k))(t*w+x)^2*exp(I*k(t*w+x))+10*U(xi)*(D(k))(t*w+x)^3*exp(I*k(t*w+x))*((D@@2)(k))(t*w+x)+(10*I)*(diff(diff(U(xi), xi), xi))*((D@@3)(k))(t*w+x)*exp(I*k(t*w+x))-5*U(xi)*((D@@4)(k))(t*w+x)*(D(k))(t*w+x)*exp(I*k(t*w+x))-20*(diff(U(xi), xi))*((D@@3)(k))(t*w+x)*(D(k))(t*w+x)*exp(I*k(t*w+x))-30*(diff(diff(U(xi), xi), xi))*(D(k))(t*w+x)*exp(I*k(t*w+x))*((D@@2)(k))(t*w+x)-(10*I)*(diff(diff(U(xi), xi), xi))*(D(k))(t*w+x)^3*exp(I*k(t*w+x))+(5*I)*(diff(diff(diff(diff(U(xi), xi), xi), xi), xi))*(D(k))(t*w+x)*exp(I*k(t*w+x))-(10*I)*U(xi)*((D@@3)(k))(t*w+x)*(D(k))(t*w+x)^2*exp(I*k(t*w+x))-(15*I)*U(xi)*((D@@2)(k))(t*w+x)^2*(D(k))(t*w+x)*exp(I*k(t*w+x))+(diff(diff(diff(diff(diff(U(xi), xi), xi), xi), xi), xi))*exp(I*k(t*w+x))+5*(diff(U(xi), xi))*(D(k))(t*w+x)^4*exp(I*k(t*w+x))-10*(diff(diff(diff(U(xi), xi), xi), xi))*(D(k))(t*w+x)^2*exp(I*k(t*w+x)))+c[2]*(-(diff(U(xi), xi))*v*exp(I*k(t*w+x))+I*U(xi)*(D(k))(t*w+x)*w*exp(I*k(t*w+x)))*U(xi)^2-2*exp(I*k(t*w+x))*(diff(U(xi), xi))*U(xi)^2*v*c[2]+c[3]*(-(diff(U(xi), xi))*v*exp(I*k(t*w+x))+I*U(xi)*(D(k))(t*w+x)*w*exp(I*k(t*w+x)))*U(xi)^4-4*exp(I*k(t*w+x))*(diff(U(xi), xi))*U(xi)^4*v*c[3]+c[4]*(-(diff(U(xi), xi))*v*exp(I*k(t*w+x))+I*U(xi)*(D(k))(t*w+x)*w*exp(I*k(t*w+x)))*(2*(diff(U(xi), xi))^2+2*U(xi)*(diff(diff(U(xi), xi), xi)))+c[4]*U(xi)*exp(I*k(t*w+x))*(-6*(diff(U(xi), xi))*(diff(diff(U(xi), xi), xi))*v-2*U(xi)*(diff(diff(diff(U(xi), xi), xi), xi))*v)-beta*s*(-(30*I)*(diff(U(xi), xi))*(D(k))(t*w+x)^2*exp(I*k(t*w+x))*((D@@2)(k))(t*w+x)+(5*I)*(diff(U(xi), xi))*((D@@4)(k))(t*w+x)*exp(I*k(t*w+x))+I*U(xi)*(D(k))(t*w+x)^5*exp(I*k(t*w+x))+(10*I)*(diff(diff(diff(U(xi), xi), xi), xi))*((D@@2)(k))(t*w+x)*exp(I*k(t*w+x))+I*U(xi)*((D@@5)(k))(t*w+x)*exp(I*k(t*w+x))-10*U(xi)*((D@@3)(k))(t*w+x)*((D@@2)(k))(t*w+x)*exp(I*k(t*w+x))-15*(diff(U(xi), xi))*((D@@2)(k))(t*w+x)^2*exp(I*k(t*w+x))+10*U(xi)*(D(k))(t*w+x)^3*exp(I*k(t*w+x))*((D@@2)(k))(t*w+x)+(10*I)*(diff(diff(U(xi), xi), xi))*((D@@3)(k))(t*w+x)*exp(I*k(t*w+x))-5*U(xi)*((D@@4)(k))(t*w+x)*(D(k))(t*w+x)*exp(I*k(t*w+x))-20*(diff(U(xi), xi))*((D@@3)(k))(t*w+x)*(D(k))(t*w+x)*exp(I*k(t*w+x))-30*(diff(diff(U(xi), xi), xi))*(D(k))(t*w+x)*exp(I*k(t*w+x))*((D@@2)(k))(t*w+x)-(10*I)*(diff(diff(U(xi), xi), xi))*(D(k))(t*w+x)^3*exp(I*k(t*w+x))+(5*I)*(diff(diff(diff(diff(U(xi), xi), xi), xi), xi))*(D(k))(t*w+x)*exp(I*k(t*w+x))-(10*I)*U(xi)*((D@@3)(k))(t*w+x)*(D(k))(t*w+x)^2*exp(I*k(t*w+x))-(15*I)*U(xi)*((D@@2)(k))(t*w+x)^2*(D(k))(t*w+x)*exp(I*k(t*w+x))+(diff(diff(diff(diff(diff(U(xi), xi), xi), xi), xi), xi))*exp(I*k(t*w+x))+5*(diff(U(xi), xi))*(D(k))(t*w+x)^4*exp(I*k(t*w+x))-10*(diff(diff(diff(U(xi), xi), xi), xi))*(D(k))(t*w+x)^2*exp(I*k(t*w+x)))+c[2]*((diff(U(xi), xi))*exp(I*k(t*w+x))+I*U(xi)*(D(k))(t*w+x)*exp(I*k(t*w+x)))*U(xi)^2+2*exp(I*k(t*w+x))*(diff(U(xi), xi))*U(xi)^2*c[2]+c[3]*((diff(U(xi), xi))*exp(I*k(t*w+x))+I*U(xi)*(D(k))(t*w+x)*exp(I*k(t*w+x)))*U(xi)^4+4*exp(I*k(t*w+x))*(diff(U(xi), xi))*U(xi)^4*c[3]+c[4]*((diff(U(xi), xi))*exp(I*k(t*w+x))+I*U(xi)*(D(k))(t*w+x)*exp(I*k(t*w+x)))*(2*(diff(U(xi), xi))^2+2*U(xi)*(diff(diff(U(xi), xi), xi)))+c[4]*U(xi)*exp(I*k(t*w+x))*(6*(diff(U(xi), xi))*(diff(diff(U(xi), xi), xi))+2*U(xi)*(diff(diff(diff(U(xi), xi), xi), xi)))](/view.aspx?sf=240334_question/3be67fbc840e3eb5bc7af315eb3aa1a3.gif)
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(8) |
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![I*((diff(diff(U(xi), xi), xi))*v^2*exp(I*k(t*w+x))-(2*I)*(diff(U(xi), xi))*v*(D(k))(t*w+x)*w*exp(I*k(t*w+x))+I*U(xi)*((D@@2)(k))(t*w+x)*w^2*exp(I*k(t*w+x))-U(xi)*(D(k))(t*w+x)^2*w^2*exp(I*k(t*w+x))-s^2*((diff(diff(U(xi), xi), xi))*exp(I*k(t*w+x))+(2*I)*(diff(U(xi), xi))*(D(k))(t*w+x)*exp(I*k(t*w+x))+I*U(xi)*((D@@2)(k))(t*w+x)*exp(I*k(t*w+x))-U(xi)*(D(k))(t*w+x)^2*exp(I*k(t*w+x))))+(1/24)*c[1]*(6*(diff(diff(diff(U(xi), xi), xi), xi))*v*(D(k))(t*w+x)^2*exp(I*k(t*w+x))-4*(diff(diff(diff(U(xi), xi), xi), xi))*(D(k))(t*w+x)^2*w*exp(I*k(t*w+x))+4*(diff(U(xi), xi))*(D(k))(t*w+x)^4*w*exp(I*k(t*w+x))-(diff(U(xi), xi))*v*(D(k))(t*w+x)^4*exp(I*k(t*w+x))-12*(diff(U(xi), xi))*((D@@2)(k))(t*w+x)^2*w*exp(I*k(t*w+x))+3*(diff(U(xi), xi))*v*((D@@2)(k))(t*w+x)^2*exp(I*k(t*w+x))+I*U(xi)*(D(k))(t*w+x)^5*w*exp(I*k(t*w+x))+12*(diff(diff(U(xi), xi), xi))*v*(D(k))(t*w+x)*exp(I*k(t*w+x))*((D@@2)(k))(t*w+x)-18*(diff(diff(U(xi), xi), xi))*(D(k))(t*w+x)*w*exp(I*k(t*w+x))*((D@@2)(k))(t*w+x)+10*U(xi)*(D(k))(t*w+x)^3*w*exp(I*k(t*w+x))*((D@@2)(k))(t*w+x)+I*(diff(diff(diff(diff(U(xi), xi), xi), xi), xi))*(D(k))(t*w+x)*w*exp(I*k(t*w+x))-16*(diff(U(xi), xi))*((D@@3)(k))(t*w+x)*w*(D(k))(t*w+x)*exp(I*k(t*w+x))-5*U(xi)*((D@@4)(k))(t*w+x)*w*(D(k))(t*w+x)*exp(I*k(t*w+x))-10*U(xi)*((D@@3)(k))(t*w+x)*w*((D@@2)(k))(t*w+x)*exp(I*k(t*w+x))+I*U(xi)*((D@@5)(k))(t*w+x)*w*exp(I*k(t*w+x))-I*(diff(U(xi), xi))*v*((D@@4)(k))(t*w+x)*exp(I*k(t*w+x))+(4*I)*(diff(diff(diff(U(xi), xi), xi), xi))*((D@@2)(k))(t*w+x)*w*exp(I*k(t*w+x))-(6*I)*(diff(diff(U(xi), xi), xi))*(D(k))(t*w+x)^3*w*exp(I*k(t*w+x))-(6*I)*(diff(diff(diff(U(xi), xi), xi), xi))*v*((D@@2)(k))(t*w+x)*exp(I*k(t*w+x))-(4*I)*(diff(diff(U(xi), xi), xi))*v*((D@@3)(k))(t*w+x)*exp(I*k(t*w+x))+(6*I)*(diff(diff(U(xi), xi), xi))*((D@@3)(k))(t*w+x)*w*exp(I*k(t*w+x))+(4*I)*(diff(U(xi), xi))*((D@@4)(k))(t*w+x)*w*exp(I*k(t*w+x))+(4*I)*(diff(diff(U(xi), xi), xi))*v*(D(k))(t*w+x)^3*exp(I*k(t*w+x))-(4*I)*(diff(diff(diff(diff(U(xi), xi), xi), xi), xi))*v*(D(k))(t*w+x)*exp(I*k(t*w+x))+4*(diff(U(xi), xi))*v*((D@@3)(k))(t*w+x)*(D(k))(t*w+x)*exp(I*k(t*w+x))-(diff(diff(diff(diff(diff(U(xi), xi), xi), xi), xi), xi))*v*exp(I*k(t*w+x))-(10*I)*U(xi)*((D@@3)(k))(t*w+x)*w*(D(k))(t*w+x)^2*exp(I*k(t*w+x))-(15*I)*U(xi)*((D@@2)(k))(t*w+x)^2*w*(D(k))(t*w+x)*exp(I*k(t*w+x))+(6*I)*(diff(U(xi), xi))*v*(D(k))(t*w+x)^2*exp(I*k(t*w+x))*((D@@2)(k))(t*w+x)-(24*I)*(diff(U(xi), xi))*(D(k))(t*w+x)^2*w*exp(I*k(t*w+x))*((D@@2)(k))(t*w+x))-alpha*s*c[1]*(-(30*I)*(diff(U(xi), xi))*(D(k))(t*w+x)^2*exp(I*k(t*w+x))*((D@@2)(k))(t*w+x)+(5*I)*(diff(U(xi), xi))*((D@@4)(k))(t*w+x)*exp(I*k(t*w+x))+I*U(xi)*(D(k))(t*w+x)^5*exp(I*k(t*w+x))+(10*I)*(diff(diff(diff(U(xi), xi), xi), xi))*((D@@2)(k))(t*w+x)*exp(I*k(t*w+x))+I*U(xi)*((D@@5)(k))(t*w+x)*exp(I*k(t*w+x))-10*U(xi)*((D@@3)(k))(t*w+x)*((D@@2)(k))(t*w+x)*exp(I*k(t*w+x))-15*(diff(U(xi), xi))*((D@@2)(k))(t*w+x)^2*exp(I*k(t*w+x))+10*U(xi)*(D(k))(t*w+x)^3*exp(I*k(t*w+x))*((D@@2)(k))(t*w+x)+(10*I)*(diff(diff(U(xi), xi), xi))*((D@@3)(k))(t*w+x)*exp(I*k(t*w+x))-5*U(xi)*((D@@4)(k))(t*w+x)*(D(k))(t*w+x)*exp(I*k(t*w+x))-20*(diff(U(xi), xi))*((D@@3)(k))(t*w+x)*(D(k))(t*w+x)*exp(I*k(t*w+x))-30*(diff(diff(U(xi), xi), xi))*(D(k))(t*w+x)*exp(I*k(t*w+x))*((D@@2)(k))(t*w+x)-(10*I)*(diff(diff(U(xi), xi), xi))*(D(k))(t*w+x)^3*exp(I*k(t*w+x))+(5*I)*(diff(diff(diff(diff(U(xi), xi), xi), xi), xi))*(D(k))(t*w+x)*exp(I*k(t*w+x))-(10*I)*U(xi)*((D@@3)(k))(t*w+x)*(D(k))(t*w+x)^2*exp(I*k(t*w+x))-(15*I)*U(xi)*((D@@2)(k))(t*w+x)^2*(D(k))(t*w+x)*exp(I*k(t*w+x))+(diff(diff(diff(diff(diff(U(xi), xi), xi), xi), xi), xi))*exp(I*k(t*w+x))+5*(diff(U(xi), xi))*(D(k))(t*w+x)^4*exp(I*k(t*w+x))-10*(diff(diff(diff(U(xi), xi), xi), xi))*(D(k))(t*w+x)^2*exp(I*k(t*w+x)))+c[2]*(-(diff(U(xi), xi))*v*exp(I*k(t*w+x))+I*U(xi)*(D(k))(t*w+x)*w*exp(I*k(t*w+x)))*U(xi)^2-2*exp(I*k(t*w+x))*(diff(U(xi), xi))*U(xi)^2*v*c[2]+c[3]*(-(diff(U(xi), xi))*v*exp(I*k(t*w+x))+I*U(xi)*(D(k))(t*w+x)*w*exp(I*k(t*w+x)))*U(xi)^4-4*exp(I*k(t*w+x))*(diff(U(xi), xi))*U(xi)^4*v*c[3]+c[4]*(-(diff(U(xi), xi))*v*exp(I*k(t*w+x))+I*U(xi)*(D(k))(t*w+x)*w*exp(I*k(t*w+x)))*(2*(diff(U(xi), xi))^2+2*U(xi)*(diff(diff(U(xi), xi), xi)))+c[4]*U(xi)*exp(I*k(t*w+x))*(-6*(diff(U(xi), xi))*(diff(diff(U(xi), xi), xi))*v-2*U(xi)*(diff(diff(diff(U(xi), xi), xi), xi))*v)-beta*s*(-(30*I)*(diff(U(xi), xi))*(D(k))(t*w+x)^2*exp(I*k(t*w+x))*((D@@2)(k))(t*w+x)+(5*I)*(diff(U(xi), xi))*((D@@4)(k))(t*w+x)*exp(I*k(t*w+x))+I*U(xi)*(D(k))(t*w+x)^5*exp(I*k(t*w+x))+(10*I)*(diff(diff(diff(U(xi), xi), xi), xi))*((D@@2)(k))(t*w+x)*exp(I*k(t*w+x))+I*U(xi)*((D@@5)(k))(t*w+x)*exp(I*k(t*w+x))-10*U(xi)*((D@@3)(k))(t*w+x)*((D@@2)(k))(t*w+x)*exp(I*k(t*w+x))-15*(diff(U(xi), xi))*((D@@2)(k))(t*w+x)^2*exp(I*k(t*w+x))+10*U(xi)*(D(k))(t*w+x)^3*exp(I*k(t*w+x))*((D@@2)(k))(t*w+x)+(10*I)*(diff(diff(U(xi), xi), xi))*((D@@3)(k))(t*w+x)*exp(I*k(t*w+x))-5*U(xi)*((D@@4)(k))(t*w+x)*(D(k))(t*w+x)*exp(I*k(t*w+x))-20*(diff(U(xi), xi))*((D@@3)(k))(t*w+x)*(D(k))(t*w+x)*exp(I*k(t*w+x))-30*(diff(diff(U(xi), xi), xi))*(D(k))(t*w+x)*exp(I*k(t*w+x))*((D@@2)(k))(t*w+x)-(10*I)*(diff(diff(U(xi), xi), xi))*(D(k))(t*w+x)^3*exp(I*k(t*w+x))+(5*I)*(diff(diff(diff(diff(U(xi), xi), xi), xi), xi))*(D(k))(t*w+x)*exp(I*k(t*w+x))-(10*I)*U(xi)*((D@@3)(k))(t*w+x)*(D(k))(t*w+x)^2*exp(I*k(t*w+x))-(15*I)*U(xi)*((D@@2)(k))(t*w+x)^2*(D(k))(t*w+x)*exp(I*k(t*w+x))+(diff(diff(diff(diff(diff(U(xi), xi), xi), xi), xi), xi))*exp(I*k(t*w+x))+5*(diff(U(xi), xi))*(D(k))(t*w+x)^4*exp(I*k(t*w+x))-10*(diff(diff(diff(U(xi), xi), xi), xi))*(D(k))(t*w+x)^2*exp(I*k(t*w+x)))+c[2]*((diff(U(xi), xi))*exp(I*k(t*w+x))+I*U(xi)*(D(k))(t*w+x)*exp(I*k(t*w+x)))*U(xi)^2+2*exp(I*k(t*w+x))*(diff(U(xi), xi))*U(xi)^2*c[2]+c[3]*((diff(U(xi), xi))*exp(I*k(t*w+x))+I*U(xi)*(D(k))(t*w+x)*exp(I*k(t*w+x)))*U(xi)^4+4*exp(I*k(t*w+x))*(diff(U(xi), xi))*U(xi)^4*c[3]+c[4]*((diff(U(xi), xi))*exp(I*k(t*w+x))+I*U(xi)*(D(k))(t*w+x)*exp(I*k(t*w+x)))*(2*(diff(U(xi), xi))^2+2*U(xi)*(diff(diff(U(xi), xi), xi)))+c[4]*U(xi)*exp(I*k(t*w+x))*(6*(diff(U(xi), xi))*(diff(diff(U(xi), xi), xi))+2*U(xi)*(diff(diff(diff(U(xi), xi), xi), xi))) = 0](/view.aspx?sf=240334_question/fc7cb943895a8540b8bc1b5f6f1231be.gif)
|
(9) |
| > |
![numer(lhs(I*((diff(diff(U(xi), xi), xi))*v^2*exp(I*k(t*w+x))-(2*I)*(diff(U(xi), xi))*v*(D(k))(t*w+x)*w*exp(I*k(t*w+x))+I*U(xi)*((D@@2)(k))(t*w+x)*w^2*exp(I*k(t*w+x))-U(xi)*(D(k))(t*w+x)^2*w^2*exp(I*k(t*w+x))-s^2*((diff(diff(U(xi), xi), xi))*exp(I*k(t*w+x))+(2*I)*(diff(U(xi), xi))*(D(k))(t*w+x)*exp(I*k(t*w+x))+I*U(xi)*((D@@2)(k))(t*w+x)*exp(I*k(t*w+x))-U(xi)*(D(k))(t*w+x)^2*exp(I*k(t*w+x))))+(1/24)*c[1]*(-(diff(diff(diff(diff(diff(U(xi), xi), xi), xi), xi), xi))*v*exp(I*k(t*w+x))+6*(diff(diff(diff(U(xi), xi), xi), xi))*v*(D(k))(t*w+x)^2*exp(I*k(t*w+x))-4*(diff(diff(diff(U(xi), xi), xi), xi))*(D(k))(t*w+x)^2*w*exp(I*k(t*w+x))+4*(diff(U(xi), xi))*(D(k))(t*w+x)^4*w*exp(I*k(t*w+x))-12*(diff(U(xi), xi))*((D@@2)(k))(t*w+x)^2*w*exp(I*k(t*w+x))+3*(diff(U(xi), xi))*v*((D@@2)(k))(t*w+x)^2*exp(I*k(t*w+x))-(diff(U(xi), xi))*v*(D(k))(t*w+x)^4*exp(I*k(t*w+x))-10*U(xi)*((D@@3)(k))(t*w+x)*w*((D@@2)(k))(t*w+x)*exp(I*k(t*w+x))+4*(diff(U(xi), xi))*v*((D@@3)(k))(t*w+x)*(D(k))(t*w+x)*exp(I*k(t*w+x))-I*(diff(U(xi), xi))*v*((D@@4)(k))(t*w+x)*exp(I*k(t*w+x))-(6*I)*(diff(diff(U(xi), xi), xi))*(D(k))(t*w+x)^3*w*exp(I*k(t*w+x))-(6*I)*(diff(diff(diff(U(xi), xi), xi), xi))*v*((D@@2)(k))(t*w+x)*exp(I*k(t*w+x))-(4*I)*(diff(diff(U(xi), xi), xi))*v*((D@@3)(k))(t*w+x)*exp(I*k(t*w+x))-(4*I)*(diff(diff(diff(diff(U(xi), xi), xi), xi), xi))*v*(D(k))(t*w+x)*exp(I*k(t*w+x))+I*U(xi)*(D(k))(t*w+x)^5*w*exp(I*k(t*w+x))+I*(diff(diff(diff(diff(U(xi), xi), xi), xi), xi))*(D(k))(t*w+x)*w*exp(I*k(t*w+x))+I*U(xi)*((D@@5)(k))(t*w+x)*w*exp(I*k(t*w+x))+(4*I)*(diff(diff(diff(U(xi), xi), xi), xi))*((D@@2)(k))(t*w+x)*w*exp(I*k(t*w+x))+(6*I)*(diff(diff(U(xi), xi), xi))*((D@@3)(k))(t*w+x)*w*exp(I*k(t*w+x))+(4*I)*(diff(U(xi), xi))*((D@@4)(k))(t*w+x)*w*exp(I*k(t*w+x))+(4*I)*(diff(diff(U(xi), xi), xi))*v*(D(k))(t*w+x)^3*exp(I*k(t*w+x))+12*(diff(diff(U(xi), xi), xi))*v*(D(k))(t*w+x)*exp(I*k(t*w+x))*((D@@2)(k))(t*w+x)-18*(diff(diff(U(xi), xi), xi))*(D(k))(t*w+x)*w*exp(I*k(t*w+x))*((D@@2)(k))(t*w+x)+10*U(xi)*(D(k))(t*w+x)^3*w*exp(I*k(t*w+x))*((D@@2)(k))(t*w+x)-16*(diff(U(xi), xi))*((D@@3)(k))(t*w+x)*w*(D(k))(t*w+x)*exp(I*k(t*w+x))-5*U(xi)*((D@@4)(k))(t*w+x)*w*(D(k))(t*w+x)*exp(I*k(t*w+x))+(6*I)*(diff(U(xi), xi))*v*(D(k))(t*w+x)^2*exp(I*k(t*w+x))*((D@@2)(k))(t*w+x)-(10*I)*U(xi)*((D@@3)(k))(t*w+x)*w*(D(k))(t*w+x)^2*exp(I*k(t*w+x))-(15*I)*U(xi)*((D@@2)(k))(t*w+x)^2*w*(D(k))(t*w+x)*exp(I*k(t*w+x))-(24*I)*(diff(U(xi), xi))*(D(k))(t*w+x)^2*w*exp(I*k(t*w+x))*((D@@2)(k))(t*w+x))-alpha*s*c[1]*(-(10*I)*(diff(diff(U(xi), xi), xi))*(D(k))(t*w+x)^3*exp(I*k(t*w+x))+(5*I)*(diff(diff(diff(diff(U(xi), xi), xi), xi), xi))*(D(k))(t*w+x)*exp(I*k(t*w+x))+(10*I)*(diff(diff(U(xi), xi), xi))*((D@@3)(k))(t*w+x)*exp(I*k(t*w+x))+I*U(xi)*((D@@5)(k))(t*w+x)*exp(I*k(t*w+x))+I*U(xi)*(D(k))(t*w+x)^5*exp(I*k(t*w+x))-10*U(xi)*((D@@3)(k))(t*w+x)*((D@@2)(k))(t*w+x)*exp(I*k(t*w+x))-15*(diff(U(xi), xi))*((D@@2)(k))(t*w+x)^2*exp(I*k(t*w+x))+10*U(xi)*(D(k))(t*w+x)^3*exp(I*k(t*w+x))*((D@@2)(k))(t*w+x)+(10*I)*(diff(diff(diff(U(xi), xi), xi), xi))*((D@@2)(k))(t*w+x)*exp(I*k(t*w+x))-5*U(xi)*((D@@4)(k))(t*w+x)*(D(k))(t*w+x)*exp(I*k(t*w+x))-20*(diff(U(xi), xi))*((D@@3)(k))(t*w+x)*(D(k))(t*w+x)*exp(I*k(t*w+x))-30*(diff(diff(U(xi), xi), xi))*(D(k))(t*w+x)*exp(I*k(t*w+x))*((D@@2)(k))(t*w+x)+(5*I)*(diff(U(xi), xi))*((D@@4)(k))(t*w+x)*exp(I*k(t*w+x))-(15*I)*U(xi)*((D@@2)(k))(t*w+x)^2*(D(k))(t*w+x)*exp(I*k(t*w+x))-(10*I)*U(xi)*((D@@3)(k))(t*w+x)*(D(k))(t*w+x)^2*exp(I*k(t*w+x))-(30*I)*(diff(U(xi), xi))*(D(k))(t*w+x)^2*exp(I*k(t*w+x))*((D@@2)(k))(t*w+x)+(diff(diff(diff(diff(diff(U(xi), xi), xi), xi), xi), xi))*exp(I*k(t*w+x))+5*(diff(U(xi), xi))*(D(k))(t*w+x)^4*exp(I*k(t*w+x))-10*(diff(diff(diff(U(xi), xi), xi), xi))*(D(k))(t*w+x)^2*exp(I*k(t*w+x)))+c[2]*(-(diff(U(xi), xi))*v*exp(I*k(t*w+x))+I*U(xi)*(D(k))(t*w+x)*w*exp(I*k(t*w+x)))*U(xi)^2-2*exp(I*k(t*w+x))*(diff(U(xi), xi))*U(xi)^2*v*c[2]+c[3]*(-(diff(U(xi), xi))*v*exp(I*k(t*w+x))+I*U(xi)*(D(k))(t*w+x)*w*exp(I*k(t*w+x)))*U(xi)^4-4*exp(I*k(t*w+x))*(diff(U(xi), xi))*U(xi)^4*v*c[3]+c[4]*(-(diff(U(xi), xi))*v*exp(I*k(t*w+x))+I*U(xi)*(D(k))(t*w+x)*w*exp(I*k(t*w+x)))*(2*(diff(U(xi), xi))^2+2*U(xi)*(diff(diff(U(xi), xi), xi)))+c[4]*U(xi)*exp(I*k(t*w+x))*(-6*(diff(U(xi), xi))*(diff(diff(U(xi), xi), xi))*v-2*U(xi)*(diff(diff(diff(U(xi), xi), xi), xi))*v)-beta*s*(-(10*I)*(diff(diff(U(xi), xi), xi))*(D(k))(t*w+x)^3*exp(I*k(t*w+x))+(5*I)*(diff(diff(diff(diff(U(xi), xi), xi), xi), xi))*(D(k))(t*w+x)*exp(I*k(t*w+x))+(10*I)*(diff(diff(U(xi), xi), xi))*((D@@3)(k))(t*w+x)*exp(I*k(t*w+x))+I*U(xi)*((D@@5)(k))(t*w+x)*exp(I*k(t*w+x))+I*U(xi)*(D(k))(t*w+x)^5*exp(I*k(t*w+x))-10*U(xi)*((D@@3)(k))(t*w+x)*((D@@2)(k))(t*w+x)*exp(I*k(t*w+x))-15*(diff(U(xi), xi))*((D@@2)(k))(t*w+x)^2*exp(I*k(t*w+x))+10*U(xi)*(D(k))(t*w+x)^3*exp(I*k(t*w+x))*((D@@2)(k))(t*w+x)+(10*I)*(diff(diff(diff(U(xi), xi), xi), xi))*((D@@2)(k))(t*w+x)*exp(I*k(t*w+x))-5*U(xi)*((D@@4)(k))(t*w+x)*(D(k))(t*w+x)*exp(I*k(t*w+x))-20*(diff(U(xi), xi))*((D@@3)(k))(t*w+x)*(D(k))(t*w+x)*exp(I*k(t*w+x))-30*(diff(diff(U(xi), xi), xi))*(D(k))(t*w+x)*exp(I*k(t*w+x))*((D@@2)(k))(t*w+x)+(5*I)*(diff(U(xi), xi))*((D@@4)(k))(t*w+x)*exp(I*k(t*w+x))-(15*I)*U(xi)*((D@@2)(k))(t*w+x)^2*(D(k))(t*w+x)*exp(I*k(t*w+x))-(10*I)*U(xi)*((D@@3)(k))(t*w+x)*(D(k))(t*w+x)^2*exp(I*k(t*w+x))-(30*I)*(diff(U(xi), xi))*(D(k))(t*w+x)^2*exp(I*k(t*w+x))*((D@@2)(k))(t*w+x)+(diff(diff(diff(diff(diff(U(xi), xi), xi), xi), xi), xi))*exp(I*k(t*w+x))+5*(diff(U(xi), xi))*(D(k))(t*w+x)^4*exp(I*k(t*w+x))-10*(diff(diff(diff(U(xi), xi), xi), xi))*(D(k))(t*w+x)^2*exp(I*k(t*w+x)))+c[2]*((diff(U(xi), xi))*exp(I*k(t*w+x))+I*U(xi)*(D(k))(t*w+x)*exp(I*k(t*w+x)))*U(xi)^2+2*exp(I*k(t*w+x))*(diff(U(xi), xi))*U(xi)^2*c[2]+c[3]*((diff(U(xi), xi))*exp(I*k(t*w+x))+I*U(xi)*(D(k))(t*w+x)*exp(I*k(t*w+x)))*U(xi)^4+4*exp(I*k(t*w+x))*(diff(U(xi), xi))*U(xi)^4*c[3]+c[4]*((diff(U(xi), xi))*exp(I*k(t*w+x))+I*U(xi)*(D(k))(t*w+x)*exp(I*k(t*w+x)))*(2*(diff(U(xi), xi))^2+2*U(xi)*(diff(diff(U(xi), xi), xi)))+c[4]*U(xi)*exp(I*k(t*w+x))*(6*(diff(U(xi), xi))*(diff(diff(U(xi), xi), xi))+2*U(xi)*(diff(diff(diff(U(xi), xi), xi), xi))) = 0))*denom(rhs(I*((diff(diff(U(xi), xi), xi))*v^2*exp(I*k(t*w+x))-(2*I)*(diff(U(xi), xi))*v*(D(k))(t*w+x)*w*exp(I*k(t*w+x))+I*U(xi)*((D@@2)(k))(t*w+x)*w^2*exp(I*k(t*w+x))-U(xi)*(D(k))(t*w+x)^2*w^2*exp(I*k(t*w+x))-s^2*((diff(diff(U(xi), xi), xi))*exp(I*k(t*w+x))+(2*I)*(diff(U(xi), xi))*(D(k))(t*w+x)*exp(I*k(t*w+x))+I*U(xi)*((D@@2)(k))(t*w+x)*exp(I*k(t*w+x))-U(xi)*(D(k))(t*w+x)^2*exp(I*k(t*w+x))))+(1/24)*c[1]*(-(diff(diff(diff(diff(diff(U(xi), xi), xi), xi), xi), xi))*v*exp(I*k(t*w+x))+6*(diff(diff(diff(U(xi), xi), xi), xi))*v*(D(k))(t*w+x)^2*exp(I*k(t*w+x))-4*(diff(diff(diff(U(xi), xi), xi), xi))*(D(k))(t*w+x)^2*w*exp(I*k(t*w+x))+4*(diff(U(xi), xi))*(D(k))(t*w+x)^4*w*exp(I*k(t*w+x))-12*(diff(U(xi), xi))*((D@@2)(k))(t*w+x)^2*w*exp(I*k(t*w+x))+3*(diff(U(xi), xi))*v*((D@@2)(k))(t*w+x)^2*exp(I*k(t*w+x))-(diff(U(xi), xi))*v*(D(k))(t*w+x)^4*exp(I*k(t*w+x))-10*U(xi)*((D@@3)(k))(t*w+x)*w*((D@@2)(k))(t*w+x)*exp(I*k(t*w+x))+4*(diff(U(xi), xi))*v*((D@@3)(k))(t*w+x)*(D(k))(t*w+x)*exp(I*k(t*w+x))-I*(diff(U(xi), xi))*v*((D@@4)(k))(t*w+x)*exp(I*k(t*w+x))-(6*I)*(diff(diff(U(xi), xi), xi))*(D(k))(t*w+x)^3*w*exp(I*k(t*w+x))-(6*I)*(diff(diff(diff(U(xi), xi), xi), xi))*v*((D@@2)(k))(t*w+x)*exp(I*k(t*w+x))-(4*I)*(diff(diff(U(xi), xi), xi))*v*((D@@3)(k))(t*w+x)*exp(I*k(t*w+x))-(4*I)*(diff(diff(diff(diff(U(xi), xi), xi), xi), xi))*v*(D(k))(t*w+x)*exp(I*k(t*w+x))+I*U(xi)*(D(k))(t*w+x)^5*w*exp(I*k(t*w+x))+I*(diff(diff(diff(diff(U(xi), xi), xi), xi), xi))*(D(k))(t*w+x)*w*exp(I*k(t*w+x))+I*U(xi)*((D@@5)(k))(t*w+x)*w*exp(I*k(t*w+x))+(4*I)*(diff(diff(diff(U(xi), xi), xi), xi))*((D@@2)(k))(t*w+x)*w*exp(I*k(t*w+x))+(6*I)*(diff(diff(U(xi), xi), xi))*((D@@3)(k))(t*w+x)*w*exp(I*k(t*w+x))+(4*I)*(diff(U(xi), xi))*((D@@4)(k))(t*w+x)*w*exp(I*k(t*w+x))+(4*I)*(diff(diff(U(xi), xi), xi))*v*(D(k))(t*w+x)^3*exp(I*k(t*w+x))+12*(diff(diff(U(xi), xi), xi))*v*(D(k))(t*w+x)*exp(I*k(t*w+x))*((D@@2)(k))(t*w+x)-18*(diff(diff(U(xi), xi), xi))*(D(k))(t*w+x)*w*exp(I*k(t*w+x))*((D@@2)(k))(t*w+x)+10*U(xi)*(D(k))(t*w+x)^3*w*exp(I*k(t*w+x))*((D@@2)(k))(t*w+x)-16*(diff(U(xi), xi))*((D@@3)(k))(t*w+x)*w*(D(k))(t*w+x)*exp(I*k(t*w+x))-5*U(xi)*((D@@4)(k))(t*w+x)*w*(D(k))(t*w+x)*exp(I*k(t*w+x))+(6*I)*(diff(U(xi), xi))*v*(D(k))(t*w+x)^2*exp(I*k(t*w+x))*((D@@2)(k))(t*w+x)-(10*I)*U(xi)*((D@@3)(k))(t*w+x)*w*(D(k))(t*w+x)^2*exp(I*k(t*w+x))-(15*I)*U(xi)*((D@@2)(k))(t*w+x)^2*w*(D(k))(t*w+x)*exp(I*k(t*w+x))-(24*I)*(diff(U(xi), xi))*(D(k))(t*w+x)^2*w*exp(I*k(t*w+x))*((D@@2)(k))(t*w+x))-alpha*s*c[1]*(-(10*I)*(diff(diff(U(xi), xi), xi))*(D(k))(t*w+x)^3*exp(I*k(t*w+x))+(5*I)*(diff(diff(diff(diff(U(xi), xi), xi), xi), xi))*(D(k))(t*w+x)*exp(I*k(t*w+x))+(10*I)*(diff(diff(U(xi), xi), xi))*((D@@3)(k))(t*w+x)*exp(I*k(t*w+x))+I*U(xi)*((D@@5)(k))(t*w+x)*exp(I*k(t*w+x))+I*U(xi)*(D(k))(t*w+x)^5*exp(I*k(t*w+x))-10*U(xi)*((D@@3)(k))(t*w+x)*((D@@2)(k))(t*w+x)*exp(I*k(t*w+x))-15*(diff(U(xi), xi))*((D@@2)(k))(t*w+x)^2*exp(I*k(t*w+x))+10*U(xi)*(D(k))(t*w+x)^3*exp(I*k(t*w+x))*((D@@2)(k))(t*w+x)+(10*I)*(diff(diff(diff(U(xi), xi), xi), xi))*((D@@2)(k))(t*w+x)*exp(I*k(t*w+x))-5*U(xi)*((D@@4)(k))(t*w+x)*(D(k))(t*w+x)*exp(I*k(t*w+x))-20*(diff(U(xi), xi))*((D@@3)(k))(t*w+x)*(D(k))(t*w+x)*exp(I*k(t*w+x))-30*(diff(diff(U(xi), xi), xi))*(D(k))(t*w+x)*exp(I*k(t*w+x))*((D@@2)(k))(t*w+x)+(5*I)*(diff(U(xi), xi))*((D@@4)(k))(t*w+x)*exp(I*k(t*w+x))-(15*I)*U(xi)*((D@@2)(k))(t*w+x)^2*(D(k))(t*w+x)*exp(I*k(t*w+x))-(10*I)*U(xi)*((D@@3)(k))(t*w+x)*(D(k))(t*w+x)^2*exp(I*k(t*w+x))-(30*I)*(diff(U(xi), xi))*(D(k))(t*w+x)^2*exp(I*k(t*w+x))*((D@@2)(k))(t*w+x)+(diff(diff(diff(diff(diff(U(xi), xi), xi), xi), xi), xi))*exp(I*k(t*w+x))+5*(diff(U(xi), xi))*(D(k))(t*w+x)^4*exp(I*k(t*w+x))-10*(diff(diff(diff(U(xi), xi), xi), xi))*(D(k))(t*w+x)^2*exp(I*k(t*w+x)))+c[2]*(-(diff(U(xi), xi))*v*exp(I*k(t*w+x))+I*U(xi)*(D(k))(t*w+x)*w*exp(I*k(t*w+x)))*U(xi)^2-2*exp(I*k(t*w+x))*(diff(U(xi), xi))*U(xi)^2*v*c[2]+c[3]*(-(diff(U(xi), xi))*v*exp(I*k(t*w+x))+I*U(xi)*(D(k))(t*w+x)*w*exp(I*k(t*w+x)))*U(xi)^4-4*exp(I*k(t*w+x))*(diff(U(xi), xi))*U(xi)^4*v*c[3]+c[4]*(-(diff(U(xi), xi))*v*exp(I*k(t*w+x))+I*U(xi)*(D(k))(t*w+x)*w*exp(I*k(t*w+x)))*(2*(diff(U(xi), xi))^2+2*U(xi)*(diff(diff(U(xi), xi), xi)))+c[4]*U(xi)*exp(I*k(t*w+x))*(-6*(diff(U(xi), xi))*(diff(diff(U(xi), xi), xi))*v-2*U(xi)*(diff(diff(diff(U(xi), xi), xi), xi))*v)-beta*s*(-(10*I)*(diff(diff(U(xi), xi), xi))*(D(k))(t*w+x)^3*exp(I*k(t*w+x))+(5*I)*(diff(diff(diff(diff(U(xi), xi), xi), xi), xi))*(D(k))(t*w+x)*exp(I*k(t*w+x))+(10*I)*(diff(diff(U(xi), xi), xi))*((D@@3)(k))(t*w+x)*exp(I*k(t*w+x))+I*U(xi)*((D@@5)(k))(t*w+x)*exp(I*k(t*w+x))+I*U(xi)*(D(k))(t*w+x)^5*exp(I*k(t*w+x))-10*U(xi)*((D@@3)(k))(t*w+x)*((D@@2)(k))(t*w+x)*exp(I*k(t*w+x))-15*(diff(U(xi), xi))*((D@@2)(k))(t*w+x)^2*exp(I*k(t*w+x))+10*U(xi)*(D(k))(t*w+x)^3*exp(I*k(t*w+x))*((D@@2)(k))(t*w+x)+(10*I)*(diff(diff(diff(U(xi), xi), xi), xi))*((D@@2)(k))(t*w+x)*exp(I*k(t*w+x))-5*U(xi)*((D@@4)(k))(t*w+x)*(D(k))(t*w+x)*exp(I*k(t*w+x))-20*(diff(U(xi), xi))*((D@@3)(k))(t*w+x)*(D(k))(t*w+x)*exp(I*k(t*w+x))-30*(diff(diff(U(xi), xi), xi))*(D(k))(t*w+x)*exp(I*k(t*w+x))*((D@@2)(k))(t*w+x)+(5*I)*(diff(U(xi), xi))*((D@@4)(k))(t*w+x)*exp(I*k(t*w+x))-(15*I)*U(xi)*((D@@2)(k))(t*w+x)^2*(D(k))(t*w+x)*exp(I*k(t*w+x))-(10*I)*U(xi)*((D@@3)(k))(t*w+x)*(D(k))(t*w+x)^2*exp(I*k(t*w+x))-(30*I)*(diff(U(xi), xi))*(D(k))(t*w+x)^2*exp(I*k(t*w+x))*((D@@2)(k))(t*w+x)+(diff(diff(diff(diff(diff(U(xi), xi), xi), xi), xi), xi))*exp(I*k(t*w+x))+5*(diff(U(xi), xi))*(D(k))(t*w+x)^4*exp(I*k(t*w+x))-10*(diff(diff(diff(U(xi), xi), xi), xi))*(D(k))(t*w+x)^2*exp(I*k(t*w+x)))+c[2]*((diff(U(xi), xi))*exp(I*k(t*w+x))+I*U(xi)*(D(k))(t*w+x)*exp(I*k(t*w+x)))*U(xi)^2+2*exp(I*k(t*w+x))*(diff(U(xi), xi))*U(xi)^2*c[2]+c[3]*((diff(U(xi), xi))*exp(I*k(t*w+x))+I*U(xi)*(D(k))(t*w+x)*exp(I*k(t*w+x)))*U(xi)^4+4*exp(I*k(t*w+x))*(diff(U(xi), xi))*U(xi)^4*c[3]+c[4]*((diff(U(xi), xi))*exp(I*k(t*w+x))+I*U(xi)*(D(k))(t*w+x)*exp(I*k(t*w+x)))*(2*(diff(U(xi), xi))^2+2*U(xi)*(diff(diff(U(xi), xi), xi)))+c[4]*U(xi)*exp(I*k(t*w+x))*(6*(diff(U(xi), xi))*(diff(diff(U(xi), xi), xi))+2*U(xi)*(diff(diff(diff(U(xi), xi), xi), xi))) = 0)) = numer(rhs(I*((diff(diff(U(xi), xi), xi))*v^2*exp(I*k(t*w+x))-(2*I)*(diff(U(xi), xi))*v*(D(k))(t*w+x)*w*exp(I*k(t*w+x))+I*U(xi)*((D@@2)(k))(t*w+x)*w^2*exp(I*k(t*w+x))-U(xi)*(D(k))(t*w+x)^2*w^2*exp(I*k(t*w+x))-s^2*((diff(diff(U(xi), xi), xi))*exp(I*k(t*w+x))+(2*I)*(diff(U(xi), xi))*(D(k))(t*w+x)*exp(I*k(t*w+x))+I*U(xi)*((D@@2)(k))(t*w+x)*exp(I*k(t*w+x))-U(xi)*(D(k))(t*w+x)^2*exp(I*k(t*w+x))))+(1/24)*c[1]*(-(diff(diff(diff(diff(diff(U(xi), xi), xi), xi), xi), xi))*v*exp(I*k(t*w+x))+6*(diff(diff(diff(U(xi), xi), xi), xi))*v*(D(k))(t*w+x)^2*exp(I*k(t*w+x))-4*(diff(diff(diff(U(xi), xi), xi), xi))*(D(k))(t*w+x)^2*w*exp(I*k(t*w+x))+4*(diff(U(xi), xi))*(D(k))(t*w+x)^4*w*exp(I*k(t*w+x))-12*(diff(U(xi), xi))*((D@@2)(k))(t*w+x)^2*w*exp(I*k(t*w+x))+3*(diff(U(xi), xi))*v*((D@@2)(k))(t*w+x)^2*exp(I*k(t*w+x))-(diff(U(xi), xi))*v*(D(k))(t*w+x)^4*exp(I*k(t*w+x))-10*U(xi)*((D@@3)(k))(t*w+x)*w*((D@@2)(k))(t*w+x)*exp(I*k(t*w+x))+4*(diff(U(xi), xi))*v*((D@@3)(k))(t*w+x)*(D(k))(t*w+x)*exp(I*k(t*w+x))-I*(diff(U(xi), xi))*v*((D@@4)(k))(t*w+x)*exp(I*k(t*w+x))-(6*I)*(diff(diff(U(xi), xi), xi))*(D(k))(t*w+x)^3*w*exp(I*k(t*w+x))-(6*I)*(diff(diff(diff(U(xi), xi), xi), xi))*v*((D@@2)(k))(t*w+x)*exp(I*k(t*w+x))-(4*I)*(diff(diff(U(xi), xi), xi))*v*((D@@3)(k))(t*w+x)*exp(I*k(t*w+x))-(4*I)*(diff(diff(diff(diff(U(xi), xi), xi), xi), xi))*v*(D(k))(t*w+x)*exp(I*k(t*w+x))+I*U(xi)*(D(k))(t*w+x)^5*w*exp(I*k(t*w+x))+I*(diff(diff(diff(diff(U(xi), xi), xi), xi), xi))*(D(k))(t*w+x)*w*exp(I*k(t*w+x))+I*U(xi)*((D@@5)(k))(t*w+x)*w*exp(I*k(t*w+x))+(4*I)*(diff(diff(diff(U(xi), xi), xi), xi))*((D@@2)(k))(t*w+x)*w*exp(I*k(t*w+x))+(6*I)*(diff(diff(U(xi), xi), xi))*((D@@3)(k))(t*w+x)*w*exp(I*k(t*w+x))+(4*I)*(diff(U(xi), xi))*((D@@4)(k))(t*w+x)*w*exp(I*k(t*w+x))+(4*I)*(diff(diff(U(xi), xi), xi))*v*(D(k))(t*w+x)^3*exp(I*k(t*w+x))+12*(diff(diff(U(xi), xi), xi))*v*(D(k))(t*w+x)*exp(I*k(t*w+x))*((D@@2)(k))(t*w+x)-18*(diff(diff(U(xi), xi), xi))*(D(k))(t*w+x)*w*exp(I*k(t*w+x))*((D@@2)(k))(t*w+x)+10*U(xi)*(D(k))(t*w+x)^3*w*exp(I*k(t*w+x))*((D@@2)(k))(t*w+x)-16*(diff(U(xi), xi))*((D@@3)(k))(t*w+x)*w*(D(k))(t*w+x)*exp(I*k(t*w+x))-5*U(xi)*((D@@4)(k))(t*w+x)*w*(D(k))(t*w+x)*exp(I*k(t*w+x))+(6*I)*(diff(U(xi), xi))*v*(D(k))(t*w+x)^2*exp(I*k(t*w+x))*((D@@2)(k))(t*w+x)-(10*I)*U(xi)*((D@@3)(k))(t*w+x)*w*(D(k))(t*w+x)^2*exp(I*k(t*w+x))-(15*I)*U(xi)*((D@@2)(k))(t*w+x)^2*w*(D(k))(t*w+x)*exp(I*k(t*w+x))-(24*I)*(diff(U(xi), xi))*(D(k))(t*w+x)^2*w*exp(I*k(t*w+x))*((D@@2)(k))(t*w+x))-alpha*s*c[1]*(-(10*I)*(diff(diff(U(xi), xi), xi))*(D(k))(t*w+x)^3*exp(I*k(t*w+x))+(5*I)*(diff(diff(diff(diff(U(xi), xi), xi), xi), xi))*(D(k))(t*w+x)*exp(I*k(t*w+x))+(10*I)*(diff(diff(U(xi), xi), xi))*((D@@3)(k))(t*w+x)*exp(I*k(t*w+x))+I*U(xi)*((D@@5)(k))(t*w+x)*exp(I*k(t*w+x))+I*U(xi)*(D(k))(t*w+x)^5*exp(I*k(t*w+x))-10*U(xi)*((D@@3)(k))(t*w+x)*((D@@2)(k))(t*w+x)*exp(I*k(t*w+x))-15*(diff(U(xi), xi))*((D@@2)(k))(t*w+x)^2*exp(I*k(t*w+x))+10*U(xi)*(D(k))(t*w+x)^3*exp(I*k(t*w+x))*((D@@2)(k))(t*w+x)+(10*I)*(diff(diff(diff(U(xi), xi), xi), xi))*((D@@2)(k))(t*w+x)*exp(I*k(t*w+x))-5*U(xi)*((D@@4)(k))(t*w+x)*(D(k))(t*w+x)*exp(I*k(t*w+x))-20*(diff(U(xi), xi))*((D@@3)(k))(t*w+x)*(D(k))(t*w+x)*exp(I*k(t*w+x))-30*(diff(diff(U(xi), xi), xi))*(D(k))(t*w+x)*exp(I*k(t*w+x))*((D@@2)(k))(t*w+x)+(5*I)*(diff(U(xi), xi))*((D@@4)(k))(t*w+x)*exp(I*k(t*w+x))-(15*I)*U(xi)*((D@@2)(k))(t*w+x)^2*(D(k))(t*w+x)*exp(I*k(t*w+x))-(10*I)*U(xi)*((D@@3)(k))(t*w+x)*(D(k))(t*w+x)^2*exp(I*k(t*w+x))-(30*I)*(diff(U(xi), xi))*(D(k))(t*w+x)^2*exp(I*k(t*w+x))*((D@@2)(k))(t*w+x)+(diff(diff(diff(diff(diff(U(xi), xi), xi), xi), xi), xi))*exp(I*k(t*w+x))+5*(diff(U(xi), xi))*(D(k))(t*w+x)^4*exp(I*k(t*w+x))-10*(diff(diff(diff(U(xi), xi), xi), xi))*(D(k))(t*w+x)^2*exp(I*k(t*w+x)))+c[2]*(-(diff(U(xi), xi))*v*exp(I*k(t*w+x))+I*U(xi)*(D(k))(t*w+x)*w*exp(I*k(t*w+x)))*U(xi)^2-2*exp(I*k(t*w+x))*(diff(U(xi), xi))*U(xi)^2*v*c[2]+c[3]*(-(diff(U(xi), xi))*v*exp(I*k(t*w+x))+I*U(xi)*(D(k))(t*w+x)*w*exp(I*k(t*w+x)))*U(xi)^4-4*exp(I*k(t*w+x))*(diff(U(xi), xi))*U(xi)^4*v*c[3]+c[4]*(-(diff(U(xi), xi))*v*exp(I*k(t*w+x))+I*U(xi)*(D(k))(t*w+x)*w*exp(I*k(t*w+x)))*(2*(diff(U(xi), xi))^2+2*U(xi)*(diff(diff(U(xi), xi), xi)))+c[4]*U(xi)*exp(I*k(t*w+x))*(-6*(diff(U(xi), xi))*(diff(diff(U(xi), xi), xi))*v-2*U(xi)*(diff(diff(diff(U(xi), xi), xi), xi))*v)-beta*s*(-(10*I)*(diff(diff(U(xi), xi), xi))*(D(k))(t*w+x)^3*exp(I*k(t*w+x))+(5*I)*(diff(diff(diff(diff(U(xi), xi), xi), xi), xi))*(D(k))(t*w+x)*exp(I*k(t*w+x))+(10*I)*(diff(diff(U(xi), xi), xi))*((D@@3)(k))(t*w+x)*exp(I*k(t*w+x))+I*U(xi)*((D@@5)(k))(t*w+x)*exp(I*k(t*w+x))+I*U(xi)*(D(k))(t*w+x)^5*exp(I*k(t*w+x))-10*U(xi)*((D@@3)(k))(t*w+x)*((D@@2)(k))(t*w+x)*exp(I*k(t*w+x))-15*(diff(U(xi), xi))*((D@@2)(k))(t*w+x)^2*exp(I*k(t*w+x))+10*U(xi)*(D(k))(t*w+x)^3*exp(I*k(t*w+x))*((D@@2)(k))(t*w+x)+(10*I)*(diff(diff(diff(U(xi), xi), xi), xi))*((D@@2)(k))(t*w+x)*exp(I*k(t*w+x))-5*U(xi)*((D@@4)(k))(t*w+x)*(D(k))(t*w+x)*exp(I*k(t*w+x))-20*(diff(U(xi), xi))*((D@@3)(k))(t*w+x)*(D(k))(t*w+x)*exp(I*k(t*w+x))-30*(diff(diff(U(xi), xi), xi))*(D(k))(t*w+x)*exp(I*k(t*w+x))*((D@@2)(k))(t*w+x)+(5*I)*(diff(U(xi), xi))*((D@@4)(k))(t*w+x)*exp(I*k(t*w+x))-(15*I)*U(xi)*((D@@2)(k))(t*w+x)^2*(D(k))(t*w+x)*exp(I*k(t*w+x))-(10*I)*U(xi)*((D@@3)(k))(t*w+x)*(D(k))(t*w+x)^2*exp(I*k(t*w+x))-(30*I)*(diff(U(xi), xi))*(D(k))(t*w+x)^2*exp(I*k(t*w+x))*((D@@2)(k))(t*w+x)+(diff(diff(diff(diff(diff(U(xi), xi), xi), xi), xi), xi))*exp(I*k(t*w+x))+5*(diff(U(xi), xi))*(D(k))(t*w+x)^4*exp(I*k(t*w+x))-10*(diff(diff(diff(U(xi), xi), xi), xi))*(D(k))(t*w+x)^2*exp(I*k(t*w+x)))+c[2]*((diff(U(xi), xi))*exp(I*k(t*w+x))+I*U(xi)*(D(k))(t*w+x)*exp(I*k(t*w+x)))*U(xi)^2+2*exp(I*k(t*w+x))*(diff(U(xi), xi))*U(xi)^2*c[2]+c[3]*((diff(U(xi), xi))*exp(I*k(t*w+x))+I*U(xi)*(D(k))(t*w+x)*exp(I*k(t*w+x)))*U(xi)^4+4*exp(I*k(t*w+x))*(diff(U(xi), xi))*U(xi)^4*c[3]+c[4]*((diff(U(xi), xi))*exp(I*k(t*w+x))+I*U(xi)*(D(k))(t*w+x)*exp(I*k(t*w+x)))*(2*(diff(U(xi), xi))^2+2*U(xi)*(diff(diff(U(xi), xi), xi)))+c[4]*U(xi)*exp(I*k(t*w+x))*(6*(diff(U(xi), xi))*(diff(diff(U(xi), xi), xi))+2*U(xi)*(diff(diff(diff(U(xi), xi), xi), xi))) = 0))*denom(lhs(I*((diff(diff(U(xi), xi), xi))*v^2*exp(I*k(t*w+x))-(2*I)*(diff(U(xi), xi))*v*(D(k))(t*w+x)*w*exp(I*k(t*w+x))+I*U(xi)*((D@@2)(k))(t*w+x)*w^2*exp(I*k(t*w+x))-U(xi)*(D(k))(t*w+x)^2*w^2*exp(I*k(t*w+x))-s^2*((diff(diff(U(xi), xi), xi))*exp(I*k(t*w+x))+(2*I)*(diff(U(xi), xi))*(D(k))(t*w+x)*exp(I*k(t*w+x))+I*U(xi)*((D@@2)(k))(t*w+x)*exp(I*k(t*w+x))-U(xi)*(D(k))(t*w+x)^2*exp(I*k(t*w+x))))+(1/24)*c[1]*(-(diff(diff(diff(diff(diff(U(xi), xi), xi), xi), xi), xi))*v*exp(I*k(t*w+x))+6*(diff(diff(diff(U(xi), xi), xi), xi))*v*(D(k))(t*w+x)^2*exp(I*k(t*w+x))-4*(diff(diff(diff(U(xi), xi), xi), xi))*(D(k))(t*w+x)^2*w*exp(I*k(t*w+x))+4*(diff(U(xi), xi))*(D(k))(t*w+x)^4*w*exp(I*k(t*w+x))-12*(diff(U(xi), xi))*((D@@2)(k))(t*w+x)^2*w*exp(I*k(t*w+x))+3*(diff(U(xi), xi))*v*((D@@2)(k))(t*w+x)^2*exp(I*k(t*w+x))-(diff(U(xi), xi))*v*(D(k))(t*w+x)^4*exp(I*k(t*w+x))-10*U(xi)*((D@@3)(k))(t*w+x)*w*((D@@2)(k))(t*w+x)*exp(I*k(t*w+x))+4*(diff(U(xi), xi))*v*((D@@3)(k))(t*w+x)*(D(k))(t*w+x)*exp(I*k(t*w+x))-I*(diff(U(xi), xi))*v*((D@@4)(k))(t*w+x)*exp(I*k(t*w+x))-(6*I)*(diff(diff(U(xi), xi), xi))*(D(k))(t*w+x)^3*w*exp(I*k(t*w+x))-(6*I)*(diff(diff(diff(U(xi), xi), xi), xi))*v*((D@@2)(k))(t*w+x)*exp(I*k(t*w+x))-(4*I)*(diff(diff(U(xi), xi), xi))*v*((D@@3)(k))(t*w+x)*exp(I*k(t*w+x))-(4*I)*(diff(diff(diff(diff(U(xi), xi), xi), xi), xi))*v*(D(k))(t*w+x)*exp(I*k(t*w+x))+I*U(xi)*(D(k))(t*w+x)^5*w*exp(I*k(t*w+x))+I*(diff(diff(diff(diff(U(xi), xi), xi), xi), xi))*(D(k))(t*w+x)*w*exp(I*k(t*w+x))+I*U(xi)*((D@@5)(k))(t*w+x)*w*exp(I*k(t*w+x))+(4*I)*(diff(diff(diff(U(xi), xi), xi), xi))*((D@@2)(k))(t*w+x)*w*exp(I*k(t*w+x))+(6*I)*(diff(diff(U(xi), xi), xi))*((D@@3)(k))(t*w+x)*w*exp(I*k(t*w+x))+(4*I)*(diff(U(xi), xi))*((D@@4)(k))(t*w+x)*w*exp(I*k(t*w+x))+(4*I)*(diff(diff(U(xi), xi), xi))*v*(D(k))(t*w+x)^3*exp(I*k(t*w+x))+12*(diff(diff(U(xi), xi), xi))*v*(D(k))(t*w+x)*exp(I*k(t*w+x))*((D@@2)(k))(t*w+x)-18*(diff(diff(U(xi), xi), xi))*(D(k))(t*w+x)*w*exp(I*k(t*w+x))*((D@@2)(k))(t*w+x)+10*U(xi)*(D(k))(t*w+x)^3*w*exp(I*k(t*w+x))*((D@@2)(k))(t*w+x)-16*(diff(U(xi), xi))*((D@@3)(k))(t*w+x)*w*(D(k))(t*w+x)*exp(I*k(t*w+x))-5*U(xi)*((D@@4)(k))(t*w+x)*w*(D(k))(t*w+x)*exp(I*k(t*w+x))+(6*I)*(diff(U(xi), xi))*v*(D(k))(t*w+x)^2*exp(I*k(t*w+x))*((D@@2)(k))(t*w+x)-(10*I)*U(xi)*((D@@3)(k))(t*w+x)*w*(D(k))(t*w+x)^2*exp(I*k(t*w+x))-(15*I)*U(xi)*((D@@2)(k))(t*w+x)^2*w*(D(k))(t*w+x)*exp(I*k(t*w+x))-(24*I)*(diff(U(xi), xi))*(D(k))(t*w+x)^2*w*exp(I*k(t*w+x))*((D@@2)(k))(t*w+x))-alpha*s*c[1]*(-(10*I)*(diff(diff(U(xi), xi), xi))*(D(k))(t*w+x)^3*exp(I*k(t*w+x))+(5*I)*(diff(diff(diff(diff(U(xi), xi), xi), xi), xi))*(D(k))(t*w+x)*exp(I*k(t*w+x))+(10*I)*(diff(diff(U(xi), xi), xi))*((D@@3)(k))(t*w+x)*exp(I*k(t*w+x))+I*U(xi)*((D@@5)(k))(t*w+x)*exp(I*k(t*w+x))+I*U(xi)*(D(k))(t*w+x)^5*exp(I*k(t*w+x))-10*U(xi)*((D@@3)(k))(t*w+x)*((D@@2)(k))(t*w+x)*exp(I*k(t*w+x))-15*(diff(U(xi), xi))*((D@@2)(k))(t*w+x)^2*exp(I*k(t*w+x))+10*U(xi)*(D(k))(t*w+x)^3*exp(I*k(t*w+x))*((D@@2)(k))(t*w+x)+(10*I)*(diff(diff(diff(U(xi), xi), xi), xi))*((D@@2)(k))(t*w+x)*exp(I*k(t*w+x))-5*U(xi)*((D@@4)(k))(t*w+x)*(D(k))(t*w+x)*exp(I*k(t*w+x))-20*(diff(U(xi), xi))*((D@@3)(k))(t*w+x)*(D(k))(t*w+x)*exp(I*k(t*w+x))-30*(diff(diff(U(xi), xi), xi))*(D(k))(t*w+x)*exp(I*k(t*w+x))*((D@@2)(k))(t*w+x)+(5*I)*(diff(U(xi), xi))*((D@@4)(k))(t*w+x)*exp(I*k(t*w+x))-(15*I)*U(xi)*((D@@2)(k))(t*w+x)^2*(D(k))(t*w+x)*exp(I*k(t*w+x))-(10*I)*U(xi)*((D@@3)(k))(t*w+x)*(D(k))(t*w+x)^2*exp(I*k(t*w+x))-(30*I)*(diff(U(xi), xi))*(D(k))(t*w+x)^2*exp(I*k(t*w+x))*((D@@2)(k))(t*w+x)+(diff(diff(diff(diff(diff(U(xi), xi), xi), xi), xi), xi))*exp(I*k(t*w+x))+5*(diff(U(xi), xi))*(D(k))(t*w+x)^4*exp(I*k(t*w+x))-10*(diff(diff(diff(U(xi), xi), xi), xi))*(D(k))(t*w+x)^2*exp(I*k(t*w+x)))+c[2]*(-(diff(U(xi), xi))*v*exp(I*k(t*w+x))+I*U(xi)*(D(k))(t*w+x)*w*exp(I*k(t*w+x)))*U(xi)^2-2*exp(I*k(t*w+x))*(diff(U(xi), xi))*U(xi)^2*v*c[2]+c[3]*(-(diff(U(xi), xi))*v*exp(I*k(t*w+x))+I*U(xi)*(D(k))(t*w+x)*w*exp(I*k(t*w+x)))*U(xi)^4-4*exp(I*k(t*w+x))*(diff(U(xi), xi))*U(xi)^4*v*c[3]+c[4]*(-(diff(U(xi), xi))*v*exp(I*k(t*w+x))+I*U(xi)*(D(k))(t*w+x)*w*exp(I*k(t*w+x)))*(2*(diff(U(xi), xi))^2+2*U(xi)*(diff(diff(U(xi), xi), xi)))+c[4]*U(xi)*exp(I*k(t*w+x))*(-6*(diff(U(xi), xi))*(diff(diff(U(xi), xi), xi))*v-2*U(xi)*(diff(diff(diff(U(xi), xi), xi), xi))*v)-beta*s*(-(10*I)*(diff(diff(U(xi), xi), xi))*(D(k))(t*w+x)^3*exp(I*k(t*w+x))+(5*I)*(diff(diff(diff(diff(U(xi), xi), xi), xi), xi))*(D(k))(t*w+x)*exp(I*k(t*w+x))+(10*I)*(diff(diff(U(xi), xi), xi))*((D@@3)(k))(t*w+x)*exp(I*k(t*w+x))+I*U(xi)*((D@@5)(k))(t*w+x)*exp(I*k(t*w+x))+I*U(xi)*(D(k))(t*w+x)^5*exp(I*k(t*w+x))-10*U(xi)*((D@@3)(k))(t*w+x)*((D@@2)(k))(t*w+x)*exp(I*k(t*w+x))-15*(diff(U(xi), xi))*((D@@2)(k))(t*w+x)^2*exp(I*k(t*w+x))+10*U(xi)*(D(k))(t*w+x)^3*exp(I*k(t*w+x))*((D@@2)(k))(t*w+x)+(10*I)*(diff(diff(diff(U(xi), xi), xi), xi))*((D@@2)(k))(t*w+x)*exp(I*k(t*w+x))-5*U(xi)*((D@@4)(k))(t*w+x)*(D(k))(t*w+x)*exp(I*k(t*w+x))-20*(diff(U(xi), xi))*((D@@3)(k))(t*w+x)*(D(k))(t*w+x)*exp(I*k(t*w+x))-30*(diff(diff(U(xi), xi), xi))*(D(k))(t*w+x)*exp(I*k(t*w+x))*((D@@2)(k))(t*w+x)+(5*I)*(diff(U(xi), xi))*((D@@4)(k))(t*w+x)*exp(I*k(t*w+x))-(15*I)*U(xi)*((D@@2)(k))(t*w+x)^2*(D(k))(t*w+x)*exp(I*k(t*w+x))-(10*I)*U(xi)*((D@@3)(k))(t*w+x)*(D(k))(t*w+x)^2*exp(I*k(t*w+x))-(30*I)*(diff(U(xi), xi))*(D(k))(t*w+x)^2*exp(I*k(t*w+x))*((D@@2)(k))(t*w+x)+(diff(diff(diff(diff(diff(U(xi), xi), xi), xi), xi), xi))*exp(I*k(t*w+x))+5*(diff(U(xi), xi))*(D(k))(t*w+x)^4*exp(I*k(t*w+x))-10*(diff(diff(diff(U(xi), xi), xi), xi))*(D(k))(t*w+x)^2*exp(I*k(t*w+x)))+c[2]*((diff(U(xi), xi))*exp(I*k(t*w+x))+I*U(xi)*(D(k))(t*w+x)*exp(I*k(t*w+x)))*U(xi)^2+2*exp(I*k(t*w+x))*(diff(U(xi), xi))*U(xi)^2*c[2]+c[3]*((diff(U(xi), xi))*exp(I*k(t*w+x))+I*U(xi)*(D(k))(t*w+x)*exp(I*k(t*w+x)))*U(xi)^4+4*exp(I*k(t*w+x))*(diff(U(xi), xi))*U(xi)^4*c[3]+c[4]*((diff(U(xi), xi))*exp(I*k(t*w+x))+I*U(xi)*(D(k))(t*w+x)*exp(I*k(t*w+x)))*(2*(diff(U(xi), xi))^2+2*U(xi)*(diff(diff(U(xi), xi), xi)))+c[4]*U(xi)*exp(I*k(t*w+x))*(6*(diff(U(xi), xi))*(diff(diff(U(xi), xi), xi))+2*U(xi)*(diff(diff(diff(U(xi), xi), xi), xi))) = 0))](/view.aspx?sf=240334_question/178f0ff61864ddfc3aaac8493c22c381.gif)
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![-exp(I*k(t*w+x))*(-I*U(xi)*(D(k))(t*w+x)^5*c[1]*w-(4*I)*(diff(diff(U(xi), xi), xi))*(D(k))(t*w+x)^3*c[1]*v+(6*I)*c[1]*w*(D(k))(t*w+x)^3*(diff(diff(U(xi), xi), xi))+(4*I)*c[1]*v*((D@@3)(k))(t*w+x)*(diff(diff(U(xi), xi), xi))-(6*I)*((D@@3)(k))(t*w+x)*(diff(diff(U(xi), xi), xi))*c[1]*w-(4*I)*((D@@4)(k))(t*w+x)*(diff(U(xi), xi))*c[1]*w+(4*I)*c[1]*v*(diff(diff(diff(diff(U(xi), xi), xi), xi), xi))*(D(k))(t*w+x)-I*(diff(diff(diff(diff(U(xi), xi), xi), xi), xi))*(D(k))(t*w+x)*c[1]*w-I*U(xi)*((D@@5)(k))(t*w+x)*c[1]*w+(6*I)*c[1]*v*(diff(diff(diff(U(xi), xi), xi), xi))*((D@@2)(k))(t*w+x)-(4*I)*(diff(diff(diff(U(xi), xi), xi), xi))*((D@@2)(k))(t*w+x)*c[1]*w+(24*I)*s*beta*U(xi)*(D(k))(t*w+x)^5-(240*I)*(diff(diff(U(xi), xi), xi))*(D(k))(t*w+x)^3*beta*s+(240*I)*s*beta*((D@@3)(k))(t*w+x)*(diff(diff(U(xi), xi), xi))+(120*I)*s*beta*((D@@4)(k))(t*w+x)*(diff(U(xi), xi))+(120*I)*s*beta*(diff(diff(diff(diff(U(xi), xi), xi), xi), 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xi))-240*s*beta*(diff(diff(diff(U(xi), xi), xi), xi))*(D(k))(t*w+x)^2-192*c[4]*U(xi)*(diff(U(xi), xi))*(diff(diff(U(xi), xi), xi))-48*w*(D(k))(t*w+x)*v*(diff(U(xi), xi))-(24*I)*v^2*(diff(diff(U(xi), xi), xi))+(24*I)*s^2*(diff(diff(U(xi), xi), xi))-48*s^2*(D(k))(t*w+x)*(diff(U(xi), xi))-24*s^2*((D@@2)(k))(t*w+x)*U(xi)+48*c[4]*v*(diff(U(xi), xi))^3-72*c[2]*U(xi)^2*(diff(U(xi), xi))-120*c[3]*U(xi)^4*(diff(U(xi), xi))) = 0](/view.aspx?sf=240334_question/8cbe4b7a7e71f220e7fc3b066072cee3.gif)
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