Kink-like wave and compacton-like wave solutions for generalized KdV equation

被引：9
|
作者：
Li, Shaoyong [1 ,2 ]
Liu, Zhengrong [2 ]
机构：
[1] Shaoguan Univ, Sch Math & Informat Sci, Shaoguan 512005, Peoples R China
[2] S China Univ Technol, Dept Math, Guangzhou 510640, Guangdong, Peoples R China
来源：
NONLINEAR DYNAMICS | 2015年 / 79卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Generalized KdV equation; Kink-like wave; Compacton-like wave; Periodic wave; Solitary wave; F-EXPANSION METHOD; BIFURCATION METHOD; TRAVELING-WAVES; SOLITONS;
D O I：
10.1007/s11071-014-1710-9
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
By using the bifurcation method of dynamical systems and numerical simulation approach of differential equations, we investigate generalized KdV equation . Two types of bounded traveling wave solutions are found, that is, the kink-like wave and compacton-like wave solutions. The planar graphs of these solutions are simulated by using software Mathematica; meanwhile, some interesting phenomena are revealed, that is, under some conditions, the periodic wave can become the kink-like wave and compacton-like wave, respectively, and the solitary wave can become the kink-like wave. The exact kink-like wave and compacton-like wave solutions with implicit or parameter expressions are given.
引用
收藏
页码：903 / 918
页数：16
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