The exp(-Phi(xi))-expansion method for finding travelling wave solutions of Vakhnenko-Parkes equation

被引：93
|
作者：
Khan, Kamruzzaman [1 ]
Akbar, M. Ali [2 ]
机构：
[1] Pabna Univ Sci & Technol, Dept Math, Pabna 6600, Bangladesh
[2] Rajshahi Univ, Dept Appl Math, Rajshahi 6205, Bangladesh
来源：
INTERNATIONAL JOURNAL OF DYNAMICAL SYSTEMS AND DIFFERENTIAL EQUATIONS | 2014年 / 5卷 / 01期
关键词：
exp(-Phi(xi))-expansion method; VP equation; exact solution; NLEEs;
D O I：
10.1504/IJDSDE.2014.067119
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The paper employs the exp(-Phi(xi))-expansion method for finding exact solutions of the Vakhnenko-Parkes (VP) equation. Each of the obtained solutions, namely hyperbolic function solutions, trigonometric function solutions, exponential function solutions and rational function solutions, contain an explicit function of the variables in the considered equation. It has been shown that the method provides a powerful mathematical tool for solving non-linear wave equations in mathematical physics and engineering problems.
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页码：72 / 83
页数：12
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