Modified Kudryashov method for finding exact solitary wave solutions of higher-order nonlinear equations

被引：91

作者：

Kabir, M. M. ^{[1
]}

Khajeh, A. ^{[1
]}

Aghdam, E. Abdi ^{[2
]}

Koma, A. Yousefi ^{[3
]}

机构：

[1] Islamic Azad Univ, Aliabad Katoul Branch, Dept Engn, Golestan, Iran

[2] Univ Mohaghegh Ardabili, Dept Mech Engn, Ardebil, Iran

[3] Univ Tehran, Coll Engn, Fac Mech Engn, Adv Dynam & Control Syst Lab, Tehran 14174, Iran

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2011年 / 34卷 / 02期

关键词：

modified Kudryashov method; rational exp-function method; Kuramoto-Sivashinsky equation; seventh-order Sawada-Kotera equation; soliton; traveling wave solution; EXP-FUNCTION METHOD; VARIATIONAL ITERATION METHOD; GENERAL BURGERS-FISHER; KURAMOTO-SIVASHINSKY; SCHRODINGER-EQUATION; SCATTERING; EVOLUTION; KAWAHARA;

D O I：

10.1002/mma.1349

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we use the modified Kudryashov method or the rational Exp-function method to construct the solitary traveling wave solutions of the Kuramoto-Sivashinsky (shortly KS) and seventh-order Sawada-Kotera (shortly sSK) equations. These equations play a very important role in the mathematical physics and engineering sciences. Recently, Noor et al. (Noor MA, Mohyud-Din, Waheed, J. Appl. Math. Comput. 2009; 29: 1-13) used the exp-function method to obtain some periodic and generalized solitary wave solutions of the KS equation. Our results improve the recent results of Noor et al. and others. Copyright (C) 2010 John Wiley & Sons, Ltd.

引用

页码：213 / 219

页数：7

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