Explicit peaked wave solutions to the generalized Camassa-Holm equation

被引：2
|
作者：
Xu, Zhen-hui [1 ]
Liu, Xi-qiang [2 ]
机构：
[1] SW Univ Sci & Technol, Appl Technol Coll, Mianyang 621010, Peoples R China
[2] Liaocheng Univ, Sch Math Sci, Liaocheng 252059, Peoples R China
来源：
ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES | 2010年 / 26卷 / 02期
关键词：
The generalized Camassa-Holm equation; periodic cusp wave; explicit peaked wave solution; PEAKONS;
D O I：
10.1007/s10255-008-8116-8
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
By constructing auxiliary differential equations, we obtain peaked solitary wave solutions of the generalized Camassa-Holm equation, including periodic cusp waves expressed in terms of elliptic functions.
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页码：277 / 282
页数：6
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