Bounded Traveling Wave Solutions and Their Relations for the Generalized HD Type Equation

被引：1
|
作者：
Meng, Qing [1 ]
He, Bin [2 ]
机构：
[1] Honghe Univ, Dept Phys, Mengzi 661100, Yunnan, Peoples R China
[2] Honghe Univ, Coll Math, Mengzi 661100, Yunnan, Peoples R China
来源：
DISCRETE DYNAMICS IN NATURE AND SOCIETY | 2016年 / 2016卷
基金：
中国国家自然科学基金;
关键词：
HARRY-DYM EQUATION; DYM; HARRY EQUATION; HIERARCHY; SYSTEM;
D O I：
10.1155/2016/5383527
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The generalized HD type equation is studied by using the bifurcation method of dynamical systems. From a dynamic point of view, the existence of different kinds of traveling waves which include periodic loop soliton, periodic cusp wave, smooth periodic wave, loop soliton, cuspon, smooth solitary wave, and kink-like wave is proved and the sufficient conditions to guarantee the existence of the above solutions in different regions of the parametric space are given. Also, all possible exact parametric representations of the bounded waves are presented and their relations are stated.
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页数：15
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