Donato, Andrea (2000) Similarity analysis and non-linear wave propagation. Memorie scientifiche di Andrea Donato. pp. 287-294.
We characterize the most general 2 x 2 first order quasilinear hyperbolic systems in conservative form which are invariant solutions satisfy,under suitable conditions,an autonomous first order system of ordinary differential equations.A procedure is given to characterize the profile of the velocities of the strong and weak discontinuities.
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