2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/61075The Cauchy problem is considered for the perturbed strictly hyperbolic 2x2 system of quasilinear equations. The unperturbed problem has a persistent solution with two discontinuity lines (shock waves). Both an asymptotics of shock waves position in the plane (x,t) and an asymptotics of the perturbed problem solution are discussed.LaTeX v1.2, 3 pagesAnalysis of PDEsMathematical Physics58J37;34E10text