New exact travelling wave solutions of nonlinear physical models

被引:39
作者
Bekir, Ahmet [1 ]
Cevikel, Adem C. [2 ]
机构
[1] Dumlupinar Univ, Art Sci Fac, Dept Math, Kutahya, Turkey
[2] Yildiz Tech Univ, Art Sci Fac, Dept Math, Istanbul, Turkey
关键词
EXP-FUNCTION METHOD; TANH-FUNCTION METHOD; PARTIAL-DIFFERENTIAL-EQUATIONS; SINE-COSINE METHOD; EVOLUTION-EQUATIONS; (G'/G)-EXPANSION METHOD;
D O I
10.1016/j.chaos.2008.07.017
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
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/C)-expansion method presents a wider applicability for handling nonlinear wave equations. (C) 2008 Elsevier Ltd. All rights reserved.
引用
收藏
页码:1733 / 1739
页数:7
相关论文
共 25 条
[1]  
Ablowitz M J., 1990, Solitons, Nonlinear Evolution Equations and Inverse Scattering Transform
[2]  
Ablowitz MJ., 1981, SOLITONS INVERSE SCA, DOI DOI 10.1137/1.9781611970883
[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]   The tanh-coth method combined with the Riccati equation for solving non-linear equation [J].
Bekir, Ahmet .
CHAOS SOLITONS & FRACTALS, 2009, 40 (03) :1467-1474
[5]   Application of Exp-function method for (2+1)-dimensional nonlinear evolution equations [J].
Bekir, Ahmet ;
Boz, Ahmet .
CHAOS SOLITONS & FRACTALS, 2009, 40 (01) :458-465
[6]   Applications of algebraic method to exactly solve some nonlinear partial differential equations [J].
Darwish, A. A. ;
Ramady, A. .
CHAOS SOLITONS & FRACTALS, 2007, 33 (04) :1263-1274
[7]   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
[8]   Modified extended tanh-function method for solving nonlinear partial differential equations [J].
Elwakil, SA ;
El-labany, SK ;
Zahran, MA ;
Sabry, R .
PHYSICS LETTERS A, 2002, 299 (2-3) :179-188
[9]   Extended tanh-function method and its applications to nonlinear equations [J].
Fan, EG .
PHYSICS LETTERS A, 2000, 277 (4-5) :212-218
[10]   A note on the homogeneous balance method [J].
Fan, EG ;
Zhang, HQ .
PHYSICS LETTERS A, 1998, 246 (05) :403-406