Application of Exp-function Method to Generalized Burgers-Fisher Equation

被引:12
作者
Xu, Zhen-hui [1 ]
Xian, Da-quan [2 ]
机构
[1] SW Univ Sci & Technol, Appl Technol Coll, Mianyang 621010, Peoples R China
[2] SW Univ Sci & Technol, Sch Sci, Mianyang 621010, Peoples R China
基金
中国国家自然科学基金;
关键词
Generalized Burgers-Fisher equation; Exp-function method; solitary solution; TANH-FUNCTION METHOD; NONLINEAR EVOLUTION-EQUATIONS; SOLITARY WAVE SOLUTIONS;
D O I
10.1007/s10255-010-0031-0
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, the Exp-function method is used to construct exact solitary wave solutions for the generalized Burgers-Fisher equation with nonlinear terms of any order. With the aid of Maple computation, we obtain many new and more general exact solitary wave solutions expressed by various exponential and hyperbolic functions. Our results can successfully recover previously known solitary wave solutions that have been found by the tanh-function method and other more sophisticated methods.
引用
收藏
页码:669 / 676
页数:8
相关论文
共 16 条
[1]  
Abolowitz M. J., 1991, SOLITONS NONLINEAR E
[2]   Exact solutions for nonlinear evolution equations using Exp-function method [J].
Bekir, Ahmet ;
Boz, Ahmet .
PHYSICS LETTERS A, 2008, 372 (10) :1619-1625
[3]   Exact solitary wave solutions for some nonlinear evolution equations via Exp-function method [J].
Ebaid, A. .
PHYSICS LETTERS A, 2007, 365 (03) :213-219
[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]   Modified extended tanh-function method for solving nonlinear partial differential equations [J].
El-Wakil, S. A. ;
Abdou, M. A. .
CHAOS SOLITONS & FRACTALS, 2007, 31 (05) :1256-1264
[6]   Extended tanh-function method and its applications to nonlinear equations [J].
Fan, EG .
PHYSICS LETTERS A, 2000, 277 (4-5) :212-218
[7]   Exp-function method for nonlinear wave equations [J].
He, Ji-Huan ;
Wu, Xu-Hong .
CHAOS SOLITONS & FRACTALS, 2006, 30 (03) :700-708
[8]   A numerical simulation and explicit solutions of the generalized Burgers-Fisher equation [J].
Kaya, D ;
El-Sayed, SM .
APPLIED MATHEMATICS AND COMPUTATION, 2004, 152 (02) :403-413
[9]   Variational iteration method for solving generalized Burger-Fisher and Burger equations [J].
Moghimi, Mahdi ;
Hejazi, Fatemeh S. A. .
CHAOS SOLITONS & FRACTALS, 2007, 33 (05) :1756-1761
[10]   An automated tanh-function method for finding solitary wave solutions to non-linear evolution equations [J].
Parkes, EJ ;
Duffy, BR .
COMPUTER PHYSICS COMMUNICATIONS, 1996, 98 (03) :288-300