Some new exact solutions of the (2+1)-dimensional variable coefficient Broer-Kaup system using the Exp-function method

被引:10
作者
Khani, F. [1 ]
Hamedi-Nezhad, S. [1 ]
机构
[1] Bakhtar Inst Higher Educ, Dept Math, Ilam, Iran
关键词
The Exp-function method; (2+1)-dimensional variable coefficient BK system; Solitary solution; NONLINEAR-EVOLUTION-EQUATIONS; HOMOTOPY PERTURBATION METHOD; PERIODIC-SOLUTIONS; WAVE;
D O I
10.1016/j.camwa.2009.03.031
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
By using symbolic computation, we apply the Exp-function method to construct new kinds of solutions of (2 + 1)-dimensional variable coefficient Broer-Kaup system. We show that the Exp-function method provides a powerful mathematical tool for solving nonlinear evolution equations in mathematical physics. (C) 2009 Elsevier Ltd. All rights reserved.
引用
收藏
页码:2325 / 2329
页数:5
相关论文
共 31 条
[1]   NONLINEAR-EVOLUTION EQUATIONS OF PHYSICAL SIGNIFICANCE [J].
ABLOWITZ, MJ ;
KAUP, DJ ;
NEWELL, AC ;
SEGUR, H .
PHYSICAL REVIEW LETTERS, 1973, 31 (02) :125-127
[2]   SPECTRAL TRANSFORM FOR A 2-SPATIAL DIMENSION EXTENSION OF THE DISPERSIVE LONG-WAVE EQUATION [J].
BOITI, M ;
LEON, JJP ;
PEMPINELLI, F .
INVERSE PROBLEMS, 1987, 3 (03) :371-387
[3]  
Chen CL, 2002, COMMUN THEOR PHYS, V38, P129
[4]   The numerical simulation for stiff systems of ordinary differential equations [J].
Darvishi, M. T. ;
Khani, F. ;
Soliman, A. A. .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2007, 54 (7-8) :1055-1063
[5]   Numerical and explicit solutions of the fifth-order Korteweg-de Vries equations [J].
Darvishi, M. T. ;
Khani, F. .
CHAOS SOLITONS & FRACTALS, 2009, 39 (05) :2484-2490
[6]   Application of He's homotopy perturbation method to stiff systems of ordinary differential equations [J].
Darvishi, Mohammad Taghi ;
Khani, Farzad .
ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES, 2008, 63 (1-2) :19-23
[7]   Application of Exp-function method for nonlinear evolution equations with variable coefficients [J].
El-Wakil, S. A. ;
Madkour, M. A. ;
Abdou, M. A. .
PHYSICS LETTERS A, 2007, 369 (1-2) :62-69
[8]   Applications of the Jacobi elliptic function method to special-type nonlinear equations [J].
Fan, EG ;
Zhang, H .
PHYSICS LETTERS A, 2002, 305 (06) :383-392
[9]  
FRANZ P, 1995, J GEOM PHYS, V17, P245
[10]  
He J. H., 2006, THESIS DE VERLAG INT