Bifurcations and parametric representations of traveling wave solutions for the Green-Naghdi equations

被引：1
|
作者：
Tang, Shengqiang [1 ]
Zeng, Libing [1 ]
Feng, Dahe [1 ]
机构：
[1] Guilin Univ Elect Technol, Sch Math & Comp Sci, Guilin 541004, Guangxi, Peoples R China
来源：
TURKISH JOURNAL OF MATHEMATICS | 2013年 / 37卷 / 06期
基金：
中国国家自然科学基金;
关键词：
Green-Naghdi equations; bifurcation theory of dynamical systems; bifurcation curves; solitary waves; periodic waves; LINEAR-STABILITY; SOLITARY WAVES; WATER; DEPTH;
D O I：
10.3906/mat-1203-8
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
By using the bifurcation theory of dynamical systems to study the dynamical behavior of the Green-Naghdi equations, the existence of solitary wave solutions along with smooth periodic traveling wave solutions is obtained. Under different regions of parametric spaces, various sufficient conditions to guarantee the existence of the above solutions are given. Some exact and explicit parametric representations of traveling wave solutions are constructed.
引用
收藏
页码：970 / 980
页数：11
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