The extended mapping method and its applications for nonlinear evolution equations

被引:36
作者
El-Waki, S. A. [1 ]
Abdou, M. A. [1 ]
机构
[1] Mansoura Univ, Fac Sci, Dept Phys, Theoret Res Grp, Mansoura 35516, Egypt
关键词
extended mapping-method; nonlinear evolution equations; new periodic solutions;
D O I
10.1016/j.physleta.2006.05.040
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The extended mapping method with a computerized symbolic computation is used to drive some new exact solutions of four nonlinear evolution equations in mathematical physics. As a result, many exact travelling wave solutions are obtained which include new solitary wave solutions, triangular and hyperbolic functions. Solutions in the limiting cases have also been studied. The method is straightforward and concise, and it can also be applied to other nonlinear evolution equations in mathematical physics. (c) 2006 Elsevier B.V. All rights reserved.
引用
收藏
页码:275 / 282
页数:8
相关论文
共 21 条
[1]   New applications of variational iteration method [J].
Abdou, MA ;
Soliman, AA .
PHYSICA D-NONLINEAR PHENOMENA, 2005, 211 (1-2) :1-8
[2]  
ABDOU MA, 2006, IN PRESS CHAOS SOLIT
[3]  
Ablowitz M.J., 1991, SOLITONS NONLINEAR E
[4]  
Abramowitz M, 1991, HDB MATH FUNCTIONS
[5]   3-DIMENSIONAL PACKETS OF SURFACE-WAVES [J].
DAVEY, A ;
STEWARTSON, K .
PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1974, 338 (1613) :101-110
[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]  
ELWAKIL SA, 2006, IN PRESS CHAOS SOLIT
[9]   SIMPLE DERIVATION OF BACKLUND TRANSFORMATION FROM RICCATI FORM OF INVERSE METHOD [J].
KONNO, K ;
WADATI, M .
PROGRESS OF THEORETICAL PHYSICS, 1975, 53 (06) :1652-1656
[10]   Exact solutions to the combined KdV-mKdV equation by the extended mapping method [J].
Krishnan, EV ;
Peng, YZ .
PHYSICA SCRIPTA, 2006, 73 (04) :405-409