E. Yu. Grazhdantseva, “Solution of a traveling-wave type to a mixed problem for a nonlinear system of first-order differential equations”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 2025, Volume 239,Pages <nobr>3

Solution of a traveling-wave type to a mixed problem for a nonlinear system of first-order differential equations

E. Yu. Grazhdantseva^ab

^a L. A. Melentiev Energy Systems Institute, Siberian Branch of the Russian Academy of Sciences, Irkutsk
^b Irkutsk State University

Abstract: In this paper, we propose a solution of a traveling-wave type to a mixed problem for a nonlinear hyperbolic system of first-order partial differential equations with a modulus-type nonlinearity and obtain conditions for the existence of a solution of a traveling-wave type.

Keywords: nonlinear first-order hyperbolic system, modulus-type nonlinearity, mixed problem, solution of a traveling-wave type

UDC: 517.957

MSC: 35L02, 35L60

DOI: 10.36535/2782-4438-2025-239-3-12