Explicit Peaked Wave Solutions to the Generalized Camassa-Holm Equation

被引：0

作者：

Zhen-hui Xu 1

机构：

来源：

Acta Mathematicae Applicatae Sinica | 2010年 / 26卷 / 02期

关键词：

The generalized Camassa-Holm equation; periodic cusp wave; explicit peaked wave solution;

D O I：

暂无

中图分类号：

O175 [微分方程、积分方程];

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

共 50 条

[21] The orbital stability of the solitary wave solutions of the generalized Camassa-Holm equation
Liu, Xiaohua
Zhang, Weiguo
Li, Zhengming
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2013, 398 (02) : 776 - 784
[22] New ansatz for obtaining wave solutions of the generalized Camassa-Holm equation
Khuri, SA
CHAOS SOLITONS & FRACTALS, 2005, 25 (03) : 705 - 710
[23] Exact kink wave solutions and peakons of a generalized Camassa-Holm equation
Song, Ming
Liu, Junru
Li, Shaoyong
RESULTS IN APPLIED MATHEMATICS, 2022, 14
[24] On peaked and smooth solitons for the Camassa-Holm equation
Qiao, ZJ
Zhang, GP
EUROPHYSICS LETTERS, 2006, 73 (05): : 657 - 663
[25] THE CONCAVE OR CONVEX PEAKED AND SMOOTH SOLITON SOLUTIONS OF CAMASSA-HOLM EQUATION
田立新
许刚
刘曾荣
Applied Mathematics and Mechanics(English Edition), 2002, (05) : 557 - 567
[26] Global weak solutions for a generalized Camassa-Holm equation
Tu, Xi
Yin, Zhaoyang
MATHEMATISCHE NACHRICHTEN, 2018, 291 (16) : 2457 - 2475
[27] Existence and nonexistence of solutions for the generalized Camassa-Holm equation
Pan Xiujuan
Shin Min Kang
Young Chel Kwun
Advances in Difference Equations, 2014
[28] The concave or convex peaked and smooth soliton solutions of Camassa-Holm equation
Tian, LX
Xu, G
Liu, ZR
APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION, 2002, 23 (05) : 557 - 567
[29] On the Study of Local Solutions for a Generalized Camassa-Holm Equation
Wu, Meng
ABSTRACT AND APPLIED ANALYSIS, 2012,
[30] THE EXISTENCE OF WEAK SOLUTIONS FOR A GENERALIZED CAMASSA-HOLM EQUATION
Lai, Shaoyong
Xie, Qichang
Guo, Yunxi
Wu, YongHong
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2011, 10 (01) : 45 - 57

← 1 2 3 4 5 →