On existence of kink and antikink wave solutions of singularly perturbed Gardner equation

被引：15
|
作者：
Wen, Zhenshu [1 ]
机构：
[1] Huaqiao Univ, Fujian Prov Univ Key Lab Computat Sci, Sch Math Sci, Quanzhou 362021, Peoples R China
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2020年 / 43卷 / 07期
基金：
中国国家自然科学基金;
关键词：
geometric singular perturbation theory; kink and antikink waves; Melnikov function; singularly perturbed Gardner equation; SOLITARY; BIFURCATIONS; DYNAMICS;
D O I：
10.1002/mma.6204
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study the existence of kink and antikink wave solutions of singularly perturbed Gardner equation from the geometric perspective. We obtain the sufficient conditions to guarantee the existence of kink and antikink wave solutions of the singularly perturbed Gardner equation when the perturbation parameter is sufficiently small, by exploiting the geometric singular perturbation theory and the Melnikov function method.
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页码：4422 / 4427
页数：6
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