1-Soliton solution of Benjamin-Bona-Mahoney equation with dual-power law nonlinearity

被引:56
作者
Biswas, Anjan [1 ]
机构
[1] Delaware State Univ, Dept Math Sci, Ctr Res & Educ Opt Sci & Applicat, Dover, DE 19901 USA
关键词
Solitons; Integrals of motion; Inverse scattering transform; TRAVELING-WAVE SOLUTIONS; COMPACT;
D O I
10.1016/j.cnsns.2009.10.023
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
An exact 1-soliton solution of the Benjamin-Bona-Mahoney equation, with dual-power law nonlinearity, will be obtained in this paper. The solitary wave ansatz will be used to carry out this integration. This solution will also be used to evaluate a couple of integrals of motion of this equation. (C) 2009 Elsevier B.V. All rights reserved.
引用
收藏
页码:2744 / 2746
页数:3
相关论文
共 10 条
[1]   Adiabatic parameter dynamics of perturbed solitary waves [J].
Antonova, Mariana ;
Biswas, Anjan .
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2009, 14 (03) :734-748
[2]   Soliton perturbation theory for the generalized Benjamin-Bona-Mahoney equation [J].
Biswas, Anjan ;
Konar, Swapan .
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2008, 13 (04) :703-706
[3]   1-soliton solution of the Zakharov-Kuznetsov equation with dual-power law nonlinearity [J].
Biswas, Anjan ;
Zerrad, Essaid .
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2009, 14 (9-10) :3574-3577
[4]  
RADY ASA, APPL MATH C IN PRESS
[5]  
Wazwaz A.-M., 2005, Communications in Nonlinear Science and Numerical Simulation, V10, P855, DOI 10.1016/j.cnsns.2004.06.002
[6]   New travelling wave solutions of different physical structures to generalized BBM equation [J].
Wazwaz, AM .
PHYSICS LETTERS A, 2006, 355 (4-5) :358-362
[7]   Exact solutions of compact and noncompact structures for the KP-BBM equation [J].
Wazwaz, AM .
APPLIED MATHEMATICS AND COMPUTATION, 2005, 169 (01) :700-712
[8]   Nonlinear variants of the BBM equation with compact and noncompact physical structures [J].
Wazwaz, AM ;
Helal, MA .
CHAOS SOLITONS & FRACTALS, 2005, 26 (03) :767-776
[9]  
Yang X. L., 2009, PACIFIC J APPL MATH, V1, P22134
[10]   Travelling wave solutions for a class of the generalized Benjamin-Bona-Mahoney equations [J].
Zhao, Xiaoshan ;
Xu, Wei .
APPLIED MATHEMATICS AND COMPUTATION, 2007, 192 (02) :507-519