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.

引用

页数：8

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