How can I solve coupled nonlinear hyperbolic equations?

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I am trying to solve the two coupled bvp equations listed as below:
where γandρ are constants. I don't think pdepe can solve this system as I am having trouble converting it to the appropriate form that is required by pdepe.
My initial conditions can be and and my boundary condition can be
It would be great if someone can help me solve this!

Answers (1)

Torsten
Torsten on 1 Dec 2022
CLAWPACK available under
is an excellent solver for hyperbolic systems of differential equations.
A MATLAB solver for this kind of PDEs is not known to me.
  1 Comment
Devanjith Fonseka
Devanjith Fonseka on 1 Dec 2022
That's a bummer Torsten, and if you say it has to be true :(
thanks!

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