Traveling wave solutions of Benny Luke equation via the enhanced (G'/G)-expansion method

In this article, we execute the enhanced (G'/G)-expansion method to search for new and further general closed-form wave solutions to the nonlinear partial differential equation, namely the Benny Luke equation. This method is one of the powerful techniques that come into view in recent time for...

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Autores principales:	A.K.M. Kazi Sazzad Hossain, M. Ali Akbar
Formato:	article
Lenguaje:	EN
Publicado:	Elsevier 2021
Materias:	35C07 35C08 35K05 35P99 Engineering (General). Civil engineering (General) TA1-2040
Acceso en línea:	https://doaj.org/article/1dc342224bb54df8b7331f1c109baa0d
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spelling	oai:doaj.org-article:1dc342224bb54df8b7331f1c109baa0d2021-11-22T04:23:03ZTraveling wave solutions of Benny Luke equation via the enhanced (G'/G)-expansion method2090-447910.1016/j.asej.2017.03.018https://doaj.org/article/1dc342224bb54df8b7331f1c109baa0d2021-12-01T00:00:00Zhttp://www.sciencedirect.com/science/article/pii/S2090447921002185https://doaj.org/toc/2090-4479In this article, we execute the enhanced (G'/G)-expansion method to search for new and further general closed-form wave solutions to the nonlinear partial differential equation, namely the Benny Luke equation. This method is one of the powerful techniques that come into view in recent time for establishing more exact wave solutions to nonlinear partial differential equations. We have achieved some new exact solutions including soliton and periodic wave solutions with arbitrary parameters and the solutions are expressed in terms of hyperbolic and trigonometric functions. The efficiency of this method for finding exact solutions has been established. It is shown that the enhanced (G'/G)-expansion method is direct, effective and can be used for many other nonlinear partial differential equations in mathematical physics and engineering.A.K.M. Kazi Sazzad HossainM. Ali AkbarElsevierarticle35C0735C0835K0535P99Engineering (General). Civil engineering (General)TA1-2040ENAin Shams Engineering Journal, Vol 12, Iss 4, Pp 4181-4187 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	35C07 35C08 35K05 35P99 Engineering (General). Civil engineering (General) TA1-2040
spellingShingle	35C07 35C08 35K05 35P99 Engineering (General). Civil engineering (General) TA1-2040 A.K.M. Kazi Sazzad Hossain M. Ali Akbar Traveling wave solutions of Benny Luke equation via the enhanced (G'/G)-expansion method
description	In this article, we execute the enhanced (G'/G)-expansion method to search for new and further general closed-form wave solutions to the nonlinear partial differential equation, namely the Benny Luke equation. This method is one of the powerful techniques that come into view in recent time for establishing more exact wave solutions to nonlinear partial differential equations. We have achieved some new exact solutions including soliton and periodic wave solutions with arbitrary parameters and the solutions are expressed in terms of hyperbolic and trigonometric functions. The efficiency of this method for finding exact solutions has been established. It is shown that the enhanced (G'/G)-expansion method is direct, effective and can be used for many other nonlinear partial differential equations in mathematical physics and engineering.
format	article
author	A.K.M. Kazi Sazzad Hossain M. Ali Akbar
author_facet	A.K.M. Kazi Sazzad Hossain M. Ali Akbar
author_sort	A.K.M. Kazi Sazzad Hossain
title	Traveling wave solutions of Benny Luke equation via the enhanced (G'/G)-expansion method
title_short	Traveling wave solutions of Benny Luke equation via the enhanced (G'/G)-expansion method
title_full	Traveling wave solutions of Benny Luke equation via the enhanced (G'/G)-expansion method
title_fullStr	Traveling wave solutions of Benny Luke equation via the enhanced (G'/G)-expansion method
title_full_unstemmed	Traveling wave solutions of Benny Luke equation via the enhanced (G'/G)-expansion method
title_sort	traveling wave solutions of benny luke equation via the enhanced (g'/g)-expansion method
publisher	Elsevier
publishDate	2021
url	https://doaj.org/article/1dc342224bb54df8b7331f1c109baa0d
work_keys_str_mv	AT akmkazisazzadhossain travelingwavesolutionsofbennylukeequationviatheenhancedggexpansionmethod AT maliakbar travelingwavesolutionsofbennylukeequationviatheenhancedggexpansionmethod
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Traveling wave solutions of Benny Luke equation via the enhanced (G'/G)-expansion method

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