APPLICATION OF EXP-FUNCTION METHOD TO REDUCED OSTROVSKY EQUATION AND KURAMOTO-SIVASHINSKY EQUATION

被引：0

作者：

Ganji, D. D. ^{[1
]}

Babaelahi, M. ^{[2
]}

Joneidi, A. A. ^{[3
]}

Davodi, A. G. ^{[4
]}

机构：

[1] Babol Univ Technol, Dept Mech Engn, Babol Sar, Mazandaran, Iran

[2] KN Toosi Univ Technol Tehran, Dept Mech Engn, Tehran, Iran

[3] Shahrood Univ Technol, Dept Mech Engn, Shahrood, Iran

[4] Shahrood Univ Technol, Dept Civil Engn, Shahrood, Iran

来源：

ASIAN-EUROPEAN JOURNAL OF MATHEMATICS | 2009年 / 2卷 / 04期

关键词：

Exp-Function method; generalized solitonary solutions; reduced Ostrovsky equation (ROE); Camassa-Holm equation; Kuramoto-Sivashinsky equation;

D O I：

10.1142/S1793557109000480

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, a kind of analytical technique, called Exp-Function method is implemented to find the solitary wave solution of the Kuramoto-Sivashinsky equation and some of the most useful equations in physics, the Camassa-Holm equation and the reduced Ostrovsky equation (ROE). This method can be used as an alternative to obtain analytic and approximate solutions of different types of fractional differential equations applied in engineering mathematics. Some numerical examples are presented to illustrate the efficiency and reliability of the Exp-Function method. It is predicted that Exp-Function method can be found widely applicable in engineering.

引用

页码：567 / 578

页数：12

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