BIFURCATIONS AND EXACT TRAVELLING WAVE SOLUTIONS FOR A SHALLOW WATER WAVE MODEL WITH A NON-STATIONARY BOTTOM SURFACE

被引：5

作者：

Song, Jie ^{[1
,2
]}

Li, Jibin ^{[2
,3
]}

机构：

[1] Huaqiao Univ, Sch Econ & Finance, Quanzhou 362021, Fujian, Peoples R China

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

[3] Zhejiang Normal Univ, Dept Math, Jinhua 321004, Zhejiang, Peoples R China

来源：

JOURNAL OF APPLIED ANALYSIS AND COMPUTATION | 2020年 / 10卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Solitary wave solution; compacton solution; periodic wave solution; shallow water wave model; bifurcation;

D O I：

10.11948/20190254

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider a shallow water wave model with a non-stationary bottom surface. By applying dynamical system approach to the model problem, we are able to obtain all possible bounded solutions (compactons, solitary wave solutions and periodic wave solutions) under different parameter conditions. More than 19 exact parametric representations are provided explicitly.

引用

页码：350 / 360

页数：11

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