New exact travelling wave solutions of two nonlinear physical models

被引:43
作者
El-Wakil, S. A. [1 ]
Abdou, M. A. [1 ]
机构
[1] Mansoura Univ, Fac Sci, Theoret Res Grp, Dept Phys, Mansoura 35516, Egypt
关键词
improved tanh function method; nonlinear physical models; exact travelling wave solutions;
D O I
10.1016/j.na.2006.10.045
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, an improved tanh function method is used with a computerized symbolic computation for constructing new exact travelling wave solutions on two nonlinear physical models namely, the quantum Zakharov equations and the (2 + 1)-dimensional Broer-Kaup-Kupershmidt (BKK) system. The main idea of this method is to take full advantage of the Riccati equation which has more new solutions. The exact solutions are obtained which include new soliton-like solutions, trigonometric function solutions and rational solutions. The method is straightforward and concise, and its applications are promising. (c) 2006 Elsevier Ltd. All rights reserved.
引用
收藏
页码:235 / 245
页数:11
相关论文
共 18 条
[1]   The extended F-expansion method and its application for a class of nonlinear evolution equations [J].
Abdou, M. A. .
CHAOS SOLITONS & FRACTALS, 2007, 31 (01) :95-104
[2]   New applications of variational iteration method [J].
Abdou, MA ;
Soliman, AA .
PHYSICA D-NONLINEAR PHENOMENA, 2005, 211 (1-2) :1-8
[3]   Variational iteration method for solving Burger's and coupled Burger's equations [J].
Abdou, MA ;
Soliman, AA .
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2005, 181 (02) :245-251
[4]  
ABDOU MA, 2007, IN PRESS COMMUNICATI
[5]  
Abolowitz M. J., 1991, SOLITONS NONLINEAR E
[6]   Exact travelling wave solutions of nonlinear evolution equations in (1+1) and (2+1) dimensions [J].
Chen, YZ ;
Ding, XW .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2005, 61 (06) :1005-1013
[7]   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
[8]   New solitons and periodic wave solutions for nonlinear evolution equations [J].
El-Wakil, SA ;
Abdou, MA ;
Elhanbaly, A .
PHYSICS LETTERS A, 2006, 353 (01) :40-47
[9]  
ELWAKIL SA, 2007, IN PRESS CHAOS SOLIT
[10]   The extended F-expansion method and exact solutions of nonlinear PDEs [J].
Liu, JB ;
Yang, KQ .
CHAOS SOLITONS & FRACTALS, 2004, 22 (01) :111-121