Asymptotics of the solution of the Cauchy problem for a singularly perturbed system of hyperbolic equations
Analysis of PDEs
2022-12-01 v1
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.
Keywords
Cite
@article{arxiv.2211.17242,
title = {Asymptotics of the solution of the Cauchy problem for a singularly perturbed system of hyperbolic equations},
author = {Andrey Nesterov},
journal= {arXiv preprint arXiv:2211.17242},
year = {2022}
}
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9 pages