TRAVELING WAVES AND THEIR EVOLUTION FOR THE ZK(N,2N,-N) EQUATION

被引：0

作者：

Fan, Feiting ^{[1
]}

Zhou, Yuqian ^{[2
]}

Chen, Xingwu ^{[1
]}

机构：

[1] Sichuan Univ, Dept Math, Chengdu 610064, Peoples R China

[2] Chengdu Univ Informat Technol, Coll Appl Math, Chengdu 610225, Peoples R China

来源：

JOURNAL OF APPLIED ANALYSIS AND COMPUTATION | 2021年 / 11卷 / 06期

基金：

中国博士后科学基金; 中国国家自然科学基金;

关键词：

Compacton; solitary wave; solitary cusp wave; traveling wave; ZK(n; 2n; -n); equation; ZAKHAROV-KUZNETSOV EQUATION; NONLINEAR DISPERSION; COMPACTONS; SOLITONS; BIFURCATIONS; STABILITY; VARIANTS; PATTERNS; KDV;

D O I：

10.11948/20210074

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, using the approach of dynamical systems we investigate the traveling waves for the ZK(n,2n,-n) equation including the types and evolution of traveling waves. The traveling wave problem is converted into the analysis of phase portraits of the corresponding traveling wave system, which is 5-parametric and has a singular line in its phase space. The orbits passing through this singular line in phase portraits are determined by a time rescaling. After converting the orbits in these phase portraits into traveling waves, we state all types of traveling waves and give at least one exact traveling wave solution for each type of bounded traveling waves in our main results. Finally, we discuss the evolution of these traveling waves among themselves when parameters vary by the bifurcations happening in the phase portraits of the traveling wave system.

引用

页码：2959 / 2980

页数：22

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