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Question: How do i solve a partial differential equation with conjugate

Question:How do i solve a partial differential equation with conjugate

Amna Raja 20 Maple 2016
differential-equation pde conjugate
April 02 2018
1

restart;
with(PDEtools);
assume(k::real, x::real, omega::real, t::real, theta::real, c::real);
u := phi(c*(t*upsilon+x))*exp(I*(k*x+omega*t+theta));
PDE := proc (u) options operator, arrow; I*(diff(u, t))+diff(u, x, x)-I*sigma*u*(conjugate(u)*(diff(u, x))-u*conjugate(diff(u, x))) end proc;
Eq1 := PDE(u)
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