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.
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页码：799 / 806
页数：8
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