Solitary wave solutions of few nonlinear evolution equations

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...

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Published inAIMS mathematics Vol. 5; no. 2; pp. 1199 - 1215
Main Authors K. M. Kazi Sazzad Hossain, A., Ali Akbar, M.
Format Journal Article
LanguageEnglish
Published AIMS Press 01.01.2020
Subjects
modified simple equation method
pochhammer-chree equation
schrödinger-hirota equation
simplified mch equation
solitary wave solutions
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ISSN2473-6988
2473-6988
DOI10.3934/math.2020083

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Abstract 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 Schrödinger-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.
AbstractList 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 Schrödinger-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.
Author K. M. Kazi Sazzad Hossain, A.
Ali Akbar, M.
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1 Department of Mathematics, Begum Rokeya University, Rangpur, Bangladesh
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StartPage 1199
SubjectTerms modified simple equation method
pochhammer-chree equation
schrödinger-hirota equation
simplified mch equation
solitary wave solutions
Title Solitary wave solutions of few nonlinear evolution equations
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