Donato, Andrea (2000) Invariant solutions and nonlinear wave propagation. Memorie scientifiche di Andrea Donato, LXXVII. pp. 319-322.
We consider quasi-linear hyperbolic system in the one-dimensional case, which are invariant with respect to infinitesimal groups of trasformations and we study the propagation of weak discontinuities across a similarity line. We are led to suitable compatibility conditions which are certainly fulfilled in the case of invariance with respect tothe stretching group. The result are applied to the equation governing the deformations of an infinitive axi-symmetric elastic-plastic medium
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