Geodesic
On the exact solution of a certain system of hyperbolic differential equations
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Differential Equations and Optimal Control, Tome 224 (2023), pp. 35-42

Voir la notice de l'article provenant de la source Math-Net.Ru

In this paper, we construct an exact solution of a first-order hyperbolic system of partial differential equations containing linear and quadratic nonlinear equations. Also, we construct a solution of the initial-value (Cauchy) problem for a linear hyperbolic system and a solution of an initial-boundary-value problem for a nonlinear hyperbolic system.
Keywords: partial derivative, hyperbolic system, Cauchy problem
Mots-clés : exact solution. 
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     author = {E. Yu. Grazhdantseva},
     title = {On the exact solution of a certain system of hyperbolic differential equations},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
     pages = {35--42},
     publisher = {mathdoc},
     volume = {224},
     year = {2023},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/INTO_2023_224_a4/}
}
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E. Yu. Grazhdantseva. On the exact solution of a certain system of hyperbolic differential equations. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Differential Equations and Optimal Control, Tome 224 (2023), pp. 35-42. http://geodesic.mathdoc.fr/item/INTO_2023_224_a4/