Towered waves and anti-waves in the generalized Degasperis-Procesi equation

被引：1
|
作者：
Yin, Jiuli [1 ]
Tian, Lixin [1 ]
机构：
[1] Jiangsu Univ, Nonlinear Sci Res Ctr, Fac Sci, Zhenjiang 212013, Jiangsu, Peoples R China
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2011年 / 62卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Generalized Degasperis-Procesi equation; Composite waves; Towered waves; Fractal-like waves; Limiting behavior; HOLM;
D O I：
10.1016/j.camwa.2011.05.047
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
New traveling wave solutions of the generalized Degasperis-Procesi equation are investigated. The solutions are characterized by three parameters. Using an improved qualitative method, abundant traveling wave solutions, such as smooth waves, peaked waves, cusped waves, compacted waves, looped waves and fractal-like waves, are obtained. Especially, some strange composite wave solutions such as towered waves and their anti-waves are first given. We also study the limiting behavior of all periodic solutions as the parameters trend to some special values. Crown Copyright (C) 2011 Published by Elsevier Ltd. All rights reserved.
引用
收藏
页码：657 / 667
页数：11
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