Application of the (G′/G)-expansion method for nonlinear evolution equations

被引：301
作者：
Bekir, Ahmet [1 ]
机构：
[1] Dumlupinar Univ, Art Sci Fac, Dept Math, Kutahya, Turkey
来源：
PHYSICS LETTERS A | 2008年 / 372卷 / 19期
关键词：
(G'/G)-expansion method; boussinesq equation; modified zakharov-kuznetsov equation; konopelchenko-dubrovsky equation;
D O I：
10.1016/j.physleta.2008.01.057
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this work, we established abundant travelling wave solutions for some nonlinear evolution equations. This method was used to construct travelling wave solutions of nonlinear evolution equations. The travelling wave solutions are expressed by the hyperbolic functions, the trigonometric functions and the rational functions. The (G'/G)-expansion method presents a wider applicability for handling nonlinear wave equations. (c) 2008 Elsevier B.V. All rights reserved.
引用
收藏
页码：3400 / 3406
页数：7
相关论文
共 24 条
[1]  
Ablowitz MJ., 1981, SOLITONS INVERSE SCA, V4
[2]  
BEKIR A, IN PRESS CHAOS SOLIT
[3]   Applications of the extended tanh method for coupled nonlinear evolution equations [J].
Bekir, Ahmet .
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2008, 13 (09) :1748-1757
[4]   New exact travelling wave solutions of two nonlinear physical models [J].
El-Wakil, S. A. ;
Abdou, M. A. .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2008, 68 (02) :235-245
[5]   New exact travelling wave solutions using modified extended tanh-function method [J].
El-Wakil, S. A. ;
Abdou, M. A. .
CHAOS SOLITONS & FRACTALS, 2007, 31 (04) :840-852
[6]   Extended tanh-function method and its applications to nonlinear equations [J].
Fan, EG .
PHYSICS LETTERS A, 2000, 277 (4-5) :212-218
[7]   A note on the homogeneous balance method [J].
Fan, EG ;
Zhang, HQ .
PHYSICS LETTERS A, 1998, 246 (05) :403-406
[8]   New periodic solutions for nonlinear evolution equations using Exp-function method [J].
He, Ji-Huan ;
Abdou, M. A. .
CHAOS SOLITONS & FRACTALS, 2007, 34 (05) :1421-1429
[9]   Exp-function method for nonlinear wave equations [J].
He, Ji-Huan ;
Wu, Xu-Hong .
CHAOS SOLITONS & FRACTALS, 2006, 30 (03) :700-708
[10]  
Hirota R., 1980, BACKLUND TRANSFORM
123