how to solve a (complicated) coupled nonlinear PDE as BVP

Hi everyone! I have to solve THIS system of coupled nonlinear PDEs with THESE boundary conditions in one dimensional case (domain: [-L,L]). This is a boundary value problem (BVP). There, t is the time-variable whereas u is the space-variable. The functions gamma, beta and tau are nonlinear in lambda (which is function of u) through power law (prop to lambda^-2). How can I solve it using Matlab?

Thanks, Petrus

[Richard Brown]

Doesn't look like a BVP to me

[Petrus]

the boundary conditions are declared at the boundary of the domain [-L,L], where each function has to have zero-first derivative. Why does not like as BVP to you?

Answer 1

[Petrus]

any idea?

Answer 2

[Eric]

Hi, have you solved your problem? I meet the same problem and be eager to know the answers.

[Petrus]

Hey, I'm sorry but I'm still working on a solution.. :(