Geodesic
Solution of a traveling-wave type to a mixed problem for a nonlinear system of first-order differential equations
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the 6th International Conference "Dynamic Systems and Computer Science: Theory and Applications" (DYSC 2024). Irkutsk, September 16-20, 2024. Part 2, Tome 239 (2025), pp. 3-12

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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 
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     author = {E. Yu. Grazhdantseva},
     title = {Solution of a traveling-wave type to a mixed problem for a nonlinear system of first-order differential equations},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
     pages = {3--12},
     publisher = {mathdoc},
     volume = {239},
     year = {2025},
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     url = {http://geodesic.mathdoc.fr/item/INTO_2025_239_a0/}
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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 tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the 6th International Conference "Dynamic Systems and Computer Science: Theory and Applications" (DYSC 2024). Irkutsk, September 16-20, 2024. Part 2, Tome 239 (2025), pp. 3-12. http://geodesic.mathdoc.fr/item/INTO_2025_239_a0/