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.

引用

页码：277 / 282

页数：6

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