Solitary wave solutions and periodic solutions for higher-order nonlinear evolution equations

被引:5
作者
Wazwaz, Abdul-Majid [1 ]
机构
[1] St Francis Xavier Univ, Dept Math & Comp Sci, Chicago, IL 60655 USA
关键词
the tanh method; the sine-cosine method; higher-order PDEs; solitons;
D O I
10.1016/j.amc.2006.03.021
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The sine-cosine and the tanh methods combined with the homogeneous balance method are used for analytic study for higher-order nonlinear evolution equations. Exact solitary wave solutions and periodic solutions are developed. A comparison between the two used methods is presented. (c) 2006 Elsevier Inc. All rights reserved.
引用
收藏
页码:1683 / 1692
页数:10
相关论文
共 14 条
[1]   Symbolic computation of exact solutions expressible in hyperbolic and elliptic functions for nonlinear PDEs [J].
Baldwin, D ;
Göktas, Ü ;
Hereman, W ;
Hong, L ;
Martino, RS ;
Miller, JC .
JOURNAL OF SYMBOLIC COMPUTATION, 2004, 37 (06) :669-705
[2]   Symbolic computation of conserved densities for systems of nonlinear evolution equations [J].
Goktas, U ;
Hereman, W .
JOURNAL OF SYMBOLIC COMPUTATION, 1997, 24 (05) :591-621
[3]   Solitary solutions of some nonlinear evolution equations [J].
Huber, A .
APPLIED MATHEMATICS AND COMPUTATION, 2005, 166 (02) :464-474
[4]   EXISTENCE AND NONEXISTENCE OF SOLITARY WAVE SOLUTIONS TO HIGHER-ORDER MODEL EVOLUTION-EQUATIONS [J].
KICHENASSAMY, S ;
OLVER, PJ .
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1992, 23 (05) :1141-1166
[5]   The tanh method .2. Perturbation technique for conservative systems [J].
Malfliet, W ;
Hereman, W .
PHYSICA SCRIPTA, 1996, 54 (06) :569-575
[6]   The tanh method .1. Exact solutions of nonlinear evolution and wave equations [J].
Malfliet, W ;
Hereman, W .
PHYSICA SCRIPTA, 1996, 54 (06) :563-568
[8]   Phase compactons in chains of dispersively coupled oscillators [J].
Rosenau, P ;
Pikovsky, A .
PHYSICAL REVIEW LETTERS, 2005, 94 (17)
[9]   COMPACTONS - SOLITONS WITH FINITE WAVELENGTH [J].
ROSENAU, P ;
HYMAN, JM .
PHYSICAL REVIEW LETTERS, 1993, 70 (05) :564-567
[10]  
Wazwaz A.M., 2002, Partial differential equations: methods and applications