Solitary wave solutions for modified forms of Degasperis-Procesi and Camassa-Holm equations

被引：124

作者：

Wazwaz, AM ^{[1
]}

机构：

[1] St Francis Xavier Univ, Dept Math & Comp Sci, Chicago, IL 60655 USA

来源：

PHYSICS LETTERS A | 2006年 / 352卷 / 06期

关键词：

Degasperis-Procesi equation; Camassa-Holm equation; solitary wave solutions; sine-cosine method; tanh method;

D O I：

10.1016/j.physleta.2005.12.036

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Solitary wave solutions for modified forms of Degasperis-Procesi and Camassa-Holm equations are developed. Unlike the standard Degasperis-Procesi and Camassa-Holm equations, where multi-peakon solutions arise, the modification caused a change in the characteristic of these peakon solutions and changed it to bell-shaped solitons. The tanh method and the sine-cosine method are used to achieve this goal. (c) 2005 Elsevier B.V. All rights reserved.

引用

页码：500 / 504

页数：5

共 18 条

[1]

Camassa R, 2003, DISCRETE CONT DYN-B, V3, P115

[2] AN INTEGRABLE SHALLOW-WATER EQUATION WITH PEAKED SOLITONS [J].

CAMASSA, R ;

HOLM, DD .

PHYSICAL REVIEW LETTERS, 1993, 71 (11) :1661-1664

[3] A new type of bounded waves for Degasperis-Procesi equation [J].

Chen, C ;

Tang, MY .

CHAOS SOLITONS & FRACTALS, 2006, 27 (03) :698-704

[4]

Degasperis A, 2002, ASYMPTOTIC INTEGRABI, P23

[5] Peaked wave solutions of Camassa-Holm equation's [J].

Liu, ZR ;

Wang, RQ ;

Jing, ZJ .

CHAOS SOLITONS & FRACTALS, 2004, 19 (01) :77-92

[6] Peakons of the Camassa-Holm equation [J].

Liu, ZR ;

Qian, TF .

APPLIED MATHEMATICAL MODELLING, 2002, 26 (03) :473-480

[7] Multi-peakon solutions of the Degasperis-Procesi equation [J].

Lundmark, H ;

Szmigielski, J .

INVERSE PROBLEMS, 2003, 19 (06) :1241-1245

[8] The tanh method .2. Perturbation technique for conservative systems [J].

Malfliet, W ;

Hereman, W .

PHYSICA SCRIPTA, 1996, 54 (06) :569-575

[9] The tanh method .1. Exact solutions of nonlinear evolution and wave equations [J].

Malfliet, W ;

Hereman, W .

PHYSICA SCRIPTA, 1996, 54 (06) :563-568

[10] A note on the Degasperis-Procesi equation [J].

Mustafa, OG .

JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS, 2005, 12 (01) :10-14

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