Geometric singular perturbation method to the existence and asymptotic behavior of traveling waves for a generalized Burgers-KdV equation

被引：25

作者：

Xu, Ying ^{[1
]}

Du, Zengji ^{[1
]}

Wei, Lei ^{[1
]}

机构：

[1] Jiangsu Normal Univ, Sch Math & Stat, Xuzhou 221116, Peoples R China

来源：

NONLINEAR DYNAMICS | 2016年 / 83卷 / 1-2期

关键词：

Burgers-KdV equation; Geometric singular perturbation method; Traveling wave solution; Heteroclinic orbits; Asymptotic behavior; MKDV EQUATION; SOLITARY WAVES; CANARD CYCLES; FRONTS; SYSTEMS; TERMS;

D O I：

10.1007/s11071-015-2309-5

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

In this paper, we discuss the existence and asymptotic behavior of traveling waves for a generalized Burgers-KdV equation. We show the heteroclinic orbits of the associated ordinary differential equations for the generalized Burgers-KdV equation with a special convolution kernel and then establish the existence result of traveling wave solutions for the Burgers-KdV equation by employing geometric singular perturbation theory and the linear chain trick. And the asymptotic behavior of traveling waves is obtained by using the standard asymptotic theory.

引用

页码：65 / 73

页数：9

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