The generalized Kudryashov method to obtain exact traveling wave solutions of the PHI-four equation and the Fisher equation

被引:70
|
作者
Mahmud, Forhad [1 ]
Samsuzzoha, Md [2 ]
Akbar, M. Ali [1 ]
机构
[1] Univ Rajshahi, Dept Appl Math, Rajshahi, Bangladesh
[2] Swinburne Univ Technol, Dept Math, Melbourne, Vic, Australia
关键词
NLEEs; generalized Kudryashov method; PHI-four equation; Fisher equation; Traveling wave solutions; EXP-FUNCTION METHOD; VARIATIONAL ITERATION METHOD; SOLITON-SOLUTIONS; COMPLEXITON SOLUTIONS;
D O I
10.1016/j.rinp.2017.10.049
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
In recent years, searching exact traveling wave solutions to nonlinear evolution equations (NLEEs) has become a remarkable topic of research. In this article, we obtain exact traveling wave solutions of two significant NLEEs, namely, the PHI-four equation and the Fisher equation involving parameters by using the generalized Kudryashov method. We attain some exponential type solutions including kink soliton, bisymmetry soliton, and periodic solution when the parameters receive different values. We provide the graphical representations of the respective solutions also. (C) 2017 The Authors. Published by Elsevier B.V. This is an open access article under the CC BY-NC-ND license.
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页码:4296 / 4302
页数:7
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