Single peak solitary wave solutions for the generalized Camassa-Holm equation

被引：2
作者：
Li, Hong [1 ]
Ma, Lilin [2 ]
Wang, Kanmin [1 ]
机构：
[1] Jiujiang Univ, Dept Math, Jiujiang 332005, Peoples R China
[2] Jiujiang Univ, Ctr Informat Technol, Jiujiang 332005, Peoples R China
来源：
APPLICABLE ANALYSIS | 2014年 / 93卷 / 09期
基金：
中国国家自然科学基金;
关键词：
generalized Camassa-Holm equation; single peak solitary wave; solitary wave; cuspon; SHALLOW-WATER EQUATION; CH-GAMMA EQUATION; PERIODIC PEAKONS; STABILITY; SOLITONS; TRAJECTORIES; SMOOTH;
D O I：
10.1080/00036811.2013.853290
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This Letter presents all possible smooth, peaked and cusped solitary wave solutions for the generalized Camassa-Holm equation under the inhomogeneous boundary condition.The parametric conditions of existence of the smooth, peaked and cusped solitary wave solutions are given by using the phase portrait analytical technique. Asymptotic analysis and numerical simulations are provided for smooth, peaked and cusped solitary wave solutions of the generalized Camassa-Holm equation.
引用
收藏
页码：1909 / 1920
页数：12
相关论文
共 25 条
[1]   Peakons and coshoidal waves: Traveling wave solutions of the Camassa-Holm equation [J].
Boyd, JP .
APPLIED MATHEMATICS AND COMPUTATION, 1997, 81 (2-3) :173-187
[2]   AN INTEGRABLE SHALLOW-WATER EQUATION WITH PEAKED SOLITONS [J].
CAMASSA, R ;
HOLM, DD .
PHYSICAL REVIEW LETTERS, 1993, 71 (11) :1661-1664
[3]   Single peak solitary wave solutions for the Fornberg-Whitham equation [J].
Chen, Aiyong ;
Li, Jibin ;
Huang, Wentao .
APPLICABLE ANALYSIS, 2012, 91 (03) :587-600
[4]  
Constantin A, 2000, COMMUN PUR APPL MATH, V53, P603
[5]   Particle trajectories in solitary water waves [J].
Constantin, Adrian ;
Escher, Joachim .
BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 2007, 44 (03) :423-431
[6]   The trajectories of particles in Stokes waves [J].
Constantin, Adrian .
INVENTIONES MATHEMATICAE, 2006, 166 (03) :523-535
[7]   Analyticity of periodic traveling free surface water waves with vorticity [J].
Constantin, Adrian ;
Escher, Joachim .
ANNALS OF MATHEMATICS, 2011, 173 (01) :559-568
[8]   The Hydrodynamical Relevance of the Camassa-Holm and Degasperis-Procesi Equations [J].
Constantin, Adrian ;
Lannes, David .
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2009, 192 (01) :165-186
[9]   SOLITONS IN THE CAMASSA-HOLM SHALLOW-WATER EQUATION [J].
COOPER, F ;
SHEPARD, H .
PHYSICS LETTERS A, 1994, 194 (04) :246-250
[10]   An integrable shallow water equation with linear and nonlinear dispersion [J].
Dullin, HR ;
Gottwald, GA ;
Holm, DD .
PHYSICAL REVIEW LETTERS, 2001, 87 (19) :1-194501
123