Abstract
This paper is devoted to obtain an exact solution to generalized Riemann problem for nonhomogeneous quasilinear hyperbolic system of partial differential equations (PDEs) describing rate type material. We derive consistency conditions and constraint equations for the governing equations with the help of differential constraint method. We characterize the solution for an arbitrary function as initial data which will help us to find an exact solution for generalized Riemann problem. Finally, we obtain exact solution for a particular generalized initial data. We show some graphical results to discuss the rarefaction properties.
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