I would like to understand a few points on the methods of characteristics used to resolve a system of coupled, linear first order partial differential equation (of the hyperbolic type). Some example of them can be found
- Method of characteristics for a system of pdes
- Solving a system of PDEs with method of characteristics
on this website for instance.
So do you have any good reference about systems of first-order, coupled partial differential equation resolved via the method of characteristics.
Thanks in advance for any comment which would increase the quality of this question.
UPDATE: I've found some references like
Courant, Methods of Mathematical physics (1962) - Willey & Sons
Courant and Lax, On nonlinear partial differential equations with two independent variables (1949) (beyond a paywall)
John, Partial Differential Equations, 3-rd edition (1978) - Springer
but all discuss the non-linear problem, which obscure the presentation for my purpose. Is there no reference, good introduction to the topic for linear system ? In particular, simple examples would be well appreciated. Thanks in advance.