BIFURCATIONS OF TRAVELING WAVE SOLUTIONS IN THE HOMOGENEOUS CAMASSA-HOLM TYPE EQUATIONS

被引：1

作者：

Zhou, Yan ^{[1
]}

Li, Jibin ^{[1
]}

机构：

[1] Huaqiao Univ, Sch Math Sci, Quanzhou 362021, Fujian, Peoples R China

来源：

JOURNAL OF APPLIED ANALYSIS AND COMPUTATION | 2022年 / 12卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Solitary wave; peakon; pseudo-peakon; periodic peakon; compacton; bifurcation; Camassa-Holm type equation;

D O I：

10.11948/20210256

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper studies traveling wave solutions of the homogeneous Camassa-Holm type equations introduced by Hay et al. in 2019. Under given parameter conditions, the corresponding traveling system is a singular system of the first class defined by [16]. The bifurcations of traveling wave solutions in the parameter space are investigated from the perspective of dynamical systems. The existence of solitary wave solution, periodic peakon solution and peakon, pseudo-peakon as well as compacton solution is proved. Possible exact explicit parametric representations of various solutions are given.

引用

页码：392 / 406

页数：15

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