Donato, Andrea and Oliveri, Francesco (2000) Quasilinear hyperbolic systems: Reduction to autonomous form and wave propagation. Memorie scientifiche di Andrea donato, LXXVII. pp. 457-465.
We consider quasilinear hyperbolic systems are left invariant by two Lie groups of transformations having commuting infinitesimal operators, it is shown how to reduce them to autonomous form. A physical example admitting two groups of transformations is considered; the application of the procedure allows us to characterize an exact particular solution. Finally, some considerations about the linearization of the model are pointed out
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