Solving a system of PDE with a nonlinear term

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Proman
Proman 2021-7-22
编辑： Proman 2021-7-22
Hello everyone
I have a system of PDE with a nonlinear term that I need to solve. Can anyone help me to solve this equation using matlab in terms of space (z) and time (t) and get u(z,t), v(z,t) and w(z,t). Thanks in advance for your time.
the parameters are as follows
Nt = 1024; T = 50; dt = T/Nt;
t = (-Nt/2:1:Nt/2-1)'*dt;
dw = 2*pi/T; w = [0:Nt/2-1 0 -Nt/2+1:-1]'*dw;
Z = 2; (Total Length)
delta0 = 0.2; delta1 = 0.2; delta2 = 0.2;
tau = 0.1;
gamma = 4; beta2 = -2;
mshape = 3;
chirp0 = 0.25;
C = 0.1;
g(z) = 0.4*z
u0 = 0.25*exp(-(t/5).^2);
v0 = sech(t) .* exp(-0.5i * chirp0 * t .^ 2);
w0 = exp(-0.5 * (1 + 1i * chirp0) .* t .^ (2 * mshape));

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