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
收藏
页码：65 / 73
页数：9
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