New solitary wave solutions to the Kuramoto-Sivashinsky and the Kawahara equations

被引：97

作者：

Wazwaz, Abdul-Majid ^{[1
]}

机构：

[1] St Francis Xavier Univ, Dept Math & Comp Sci, Chicago, IL 60655 USA

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2006年 / 182卷 / 02期

关键词：

Kuramoto-Sivashinsky equation; Kawahara equation; the tanh method; extended tanh method; solitons; periodic wave solutions;

D O I：

10.1016/j.amc.2006.06.002

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work, the Kuramoto-Sivashinsky equation and the Kawahara equation are studied. The tanh method and the extended tanh method are used for analytic treatment for these two equations. By means of these methods, new solitary wave solutions are determined for each equation. The two approaches are reliable and manageable. (c) 2006 Elsevier Inc. All rights reserved.

引用

页码：1642 / 1650

页数：9

共 17 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] Solitary and periodic solutions of nonlinear nonintegrable equations [J].

Berloff, NG ;

Howard, LN .

STUDIES IN APPLIED MATHEMATICS, 1997, 99 (01) :1-24

[3] Linear instability of solitary wave solutions of the Kawahara equation and its generalizations [J].

Bridges, TJ ;

Derks, G .

SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2002, 33 (06) :1356-1378

[4]

Conte R, 2003, LECT NOTES PHYS, V632, P1

[5]

GOKTAS U, 1997, J SYMB COMPUT, V24

[6]

MALFLIET W, 1996, PHYS SCRIPTA, V54

[7]

MALFLIET W, 1996, PHYS SCRIPTA, V54

[8]

RADEMACHER J, IN PRESS J COMPUT NO

[9] Phase compactons in chains of dispersively coupled oscillators [J].

Rosenau, P ;

Pikovsky, A .

PHYSICAL REVIEW LETTERS, 2005, 94 (17)

[10] Further improved F-expansion method and new exact solutions of Konopelchenko-Dubrovsky equation [J].

Wang, DS ;

Zhang, HQ .

CHAOS SOLITONS & FRACTALS, 2005, 25 (03) :601-610

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