Asymptotics of the solution of the Cauchy problem for a singularly perturbed system of hyperbolic equations

Andrey Nesterov

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arXiv · 2211.17242

Asymptotics of the solution of the Cauchy problem for a singularly perturbed system of hyperbolic equations

Andrey Nesterov

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Abstract

An asymptotic expansion with respect to a small parameter of a singularly perturbed system of hyperbolic equations, describing vibrations of two rigidly connected strings is constructed. Under certain conditions imposed on these problems, the principal term of the asymptotic expansion of the solution is described by the Korteweg-de Vries equation.

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Andrey Nesterov. 2022-11-30. Asymptotics of the solution of the Cauchy problem for a singularly perturbed system of hyperbolic equations. https://arxiv.org/abs/2211.17242

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