Stability of traveling wave solutions to the initial–boundary value problem for diagonalizable quasilinear hyperbolic systems

In this paper, we consider the stability of all traveling wave solutions to the mixed initial–boundary value problem for diagonalizable quasilinear hyperbolic system in the domain {(t,x)|t≥0,x≥0}{(t,x)|t≥0,x≥0}, using the weighted Glimm functional method. An application is given for the interesting model in particle physics.