The extended tanh method and its applications for solving nonlinear physical models

被引：217
作者：
Abdou, M. A. [1 ]
机构：
[1] Univ Mansoura, Fac Sci, Dept Phys, Theoret Res Grp, Mansoura 35516, Egypt
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2007年 / 190卷 / 01期
关键词：
extended tanh method; nonlinear physical models; solitons; kinks and plane periodic solutions;
D O I：
10.1016/j.amc.2007.01.070
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The extended tanh method with a computerized symbolic computation is used for constructing the travelling wave solutions of coupled nonlinear equations arising in physics. The obtained solutions include solitons, kinks and plane periodic solutions. The applied method will be used in further works to establish more entirely new solutions for other kinds of nonlinear evolution equations arising in physics. (C) 2007 Elsevier Inc. All rights reserved.
引用
收藏
页码：988 / 996
页数：9
相关论文
共 22 条
[1]   Modified extended tanh-function method and its application on nonlinear physical equations [J].
Abdou, M. A. ;
Soliman, A. A. .
PHYSICS LETTERS A, 2006, 353 (06) :487-492
[2]  
ABDOU MA, IN PRESS COMMUN NONL
[3]   Extended Jacobi elliptic function rational expansion method and abundant families of Jacobi elliptic function solutions to (1+1)-dimensional dispersive long wave equation [J].
Chen, Y ;
Wang, Q .
CHAOS SOLITONS & FRACTALS, 2005, 24 (03) :745-757
[4]   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
[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]   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
[7]   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
[8]   Modified extended tanh-function method and its applications to nonlinear equations [J].
Elwakil, SA ;
El-Labany, SK ;
Zahran, MA ;
Sabry, R .
APPLIED MATHEMATICS AND COMPUTATION, 2005, 161 (02) :403-412
[9]  
ELWAKIL SA, IN PRESS CHAOS SOLIT
[10]  
ELWAKIL SA, IN PRESS NONLINEAR A
123