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.
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页码：65 / 73
页数：9
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