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5 years, 141 days

flux determination...

Maple

@mskalsi

I was trying the direct method for conservation law of wave equation.But the fluxes and conserved density are not coming correct in eq.(4)(see attached file) because (1) and (6) are not same.What mistake have I done?

wave_eq_3.mws

how to solve non-linear equation?...

Maple
restart;
with(PDETools);
diff(r(t), t)-(diff(a[3](t), t))*r(t)/a[3](t)+a[1](t)*p[3](t)-3*r(t)*r(t) = 0;

dsolve(diff(r(t), t)-(diff(a[3](t), t))*r(t)/a[3](t)+a[1](t)*p[3](t)-3*r(t)^2 = 0, r(t));

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Maple

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Maple

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how to find infinitisimals of system of ...

Maple

how to find infinitisimals of system of differential equations?

i have system of two dependent variables and two independent variables.

[-(diff(psi[2], x))+diff(psi[1], t, t)-2*n*(psi[1]^2+psi[2]^2)*psi[1]-beta*(diff(psi[1], x, t)) = 0,

diff(psi[1], x)+diff(psi[2], t, t)-2*n*(psi[1]^2+psi[2]^2)*psi[2]-beta*(diff(psi[2], x, t)) = 0]

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