论文标题

凯奇问题解决方案解决方案的渐近系统的渐近系统的渐近系统的渐近系统

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

论文作者

Nesterov, Andrey

论文摘要

相对于双曲方程奇异扰动系统的小参数的渐近扩展,描述了两个刚性连接的字符串的振动。在这些问题上施加的某些条件下,Korteweg-de Vries方程描述了溶液渐近扩张的主要项。

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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