Persistence of kink and anti-kink wave solutions for the perturbed double sine-Gordon equation

被引：4
|
作者：
Zhang, Huiyang [1 ]
Xia, Yonghui [1 ]
机构：
[1] Zhejiang Normal Univ, Sch Math Sci, Jinhua 321004, Peoples R China
来源：
APPLIED MATHEMATICS LETTERS | 2023年 / 141卷
基金：
中国国家自然科学基金;
关键词：
Sine-Gordon equation; Traveling wave solution; Melnikov function; TRAVELING-WAVES; SOLITONS; BIFURCATIONS; DIFFUSION; EXISTENCE; DYNAMICS; PERIOD;
D O I：
10.1016/j.aml.2023.108616
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Based on the geometric singular perturbation theory and the Melnikov method, we study the persistence of kink and anti-kink wave solutions for the perturbed double sine-Gordon equation. The explicit expression of the Melnikov function is given. Moreover, the monotonicity of the period function for unperturbed double sine-Gordon equation is investigated.(c) 2023 Elsevier Ltd. All rights reserved.
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页数：8
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