Travelling wave solutions of nonlinear evolution equations using the simplest equation method

被引:35
作者
Jafari, H. [1 ,2 ]
Kadkhoda, N. [1 ]
Khalique, C. M. [2 ]
机构
[1] Univ Mazandaran, Dept Math, Babol Sar, Iran
[2] North West Univ, Dept Math Sci, Int Inst Symmetry Anal & Math Modelling, ZA-2735 Mmabatho, South Africa
关键词
Simplest equation method; Vakhnenko-Parkes equation; Regularized long wave equation; Solitary wave solutions; TANH; SOLITONS;
D O I
10.1016/j.camwa.2012.04.004
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, the simplest equation method has been used for finding the exact solutions of three nonlinear evolution equations, namely the Vakhnenko-Parkes equation, the generalized regularized long wave equation and the symmetric regularized long wave equation. All three of these equations arise in fluids science, so finding their exact solutions is of great importance. (C) 2012 Elsevier Ltd. All rights reserved.
引用
收藏
页码:2084 / 2088
页数:5
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