Travelling wave solutions for a singularly perturbed Burgers-KdV equation

被引：15

作者：

Mansour, M. B. A. ^{[1
]}

机构：

[1] S Valley Univ, Fac Sci Qena, Dept Math, Qena, Egypt

来源：

PRAMANA-JOURNAL OF PHYSICS | 2009年 / 73卷 / 05期

关键词：

Burgers-KdV equation; singular perturbation; travelling wave solutions; EXISTENCE;

D O I：

10.1007/s12043-009-0148-y

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

This paper concerns with the existence problem of travelling wave solutions to a singularly perturbed Burgers-KdV equation. For this, we use the dynamical systems approach, specifically, the geometric singular perturbation theory and centre manifold theory. We also numerically show approximations, in particular, for kink-type waves.

引用

页码：799 / 806

页数：8

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