Solitary wave solutions of few nonlinear evolution equations

被引:12
|
作者
Hossain, A. K. M. Kazi Sazzad [1 ]
Akbar, M. Ali [2 ]
机构
[1] Begum Rokeya Univ, Dept Math, Rangpur, Bangladesh
[2] Univ Rajshahi, Dept Appl Math, Rajshahi, Bangladesh
来源
AIMS MATHEMATICS | 2020年 / 5卷 / 02期
关键词
modified simple equation method; simplified MCH equation; Pochhammer-Chree equation; Schrodinger-Hirota equation; solitary wave solutions; ZAKHAROV-KUZNETSOV EQUATION; IMPROVED (G'/G)-EXPANSION METHOD; ION-ACOUSTIC-WAVES; STABILITY ANALYSIS;
D O I
10.3934/math.2020083
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The solitary wave solutions of nonlinear evolution equations, in the recent years is being attractive in the field of physical sciences and engineering. In this article, we have investigated further general solitary wave solutions of three important nonlinear evolution equations, via the simplified MCH equation, the Pochhammer-Chree equation and the Schrodinger-Hirota equation by using modified simple equation method. These equations play an important role in the study of nonlinear sciences. The obtained solutions are expressed in terms of exponential and trigonometric functions including kink, singular kink and periodic soliton solutions. It is shown that the obtained solutions are more general and fresh and can be helpful to analyze the intricate physical incident in mathematical physics.
引用
收藏
页码:1199 / 1215
页数:17
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