Classes of new analytical soliton solutions to some nonlinear evolution equations

Undoubtedly, all applied sciences are closely corresponding to differential equations, especially partial differential equations. This contribution aims to examine the efficiency of a modified version of the generalized exponential rational function method in solving some well-known nonlinear evolut...

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Autores principales:	Yan Cao, Hayder A. Dhahad, Hasanen M. Hussen, Sagr Alamri, Ali A. Rajhi, Ali E. Anqi, Kottakkaran Sooppy Nisar, Roshan Noor Mohamed
Formato:	article
Lenguaje:	EN
Publicado:	Elsevier 2021
Materias:	Analytical solutions mGERFM Symbolic computation Nonlinear evolution equations Physics QC1-999
Acceso en línea:	https://doaj.org/article/74a5e7d313494f7aa622734f72e52af8
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id	oai:doaj.org-article:74a5e7d313494f7aa622734f72e52af8
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spelling	oai:doaj.org-article:74a5e7d313494f7aa622734f72e52af82021-11-14T04:32:30ZClasses of new analytical soliton solutions to some nonlinear evolution equations2211-379710.1016/j.rinp.2021.104947https://doaj.org/article/74a5e7d313494f7aa622734f72e52af82021-12-01T00:00:00Zhttp://www.sciencedirect.com/science/article/pii/S2211379721009682https://doaj.org/toc/2211-3797Undoubtedly, all applied sciences are closely corresponding to differential equations, especially partial differential equations. This contribution aims to examine the efficiency of a modified version of the generalized exponential rational function method in solving some well-known nonlinear evolution equations. The investigated models in this article include the Zakharov–Kuznetsov, the cubic Boussinesq, and the modified regularized long-wave equation. In the structure of these solutions, various familiar elementary functions, including exponential, trigonometric, and hyperbolic functions are used. This important feature makes it easy to use these solutions in real applications. Numerical behaviors corresponding to the obtained solutions have been demonstrated through some three-dimensional diagrams in the article. This technique can be also adopted in determining wave soliton solution to other equations with partial derivatives.Yan CaoHayder A. DhahadHasanen M. HussenSagr AlamriAli A. RajhiAli E. AnqiKottakkaran Sooppy NisarRoshan Noor MohamedElsevierarticleAnalytical solutionsmGERFMSymbolic computationNonlinear evolution equationsPhysicsQC1-999ENResults in Physics, Vol 31, Iss , Pp 104947- (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Analytical solutions mGERFM Symbolic computation Nonlinear evolution equations Physics QC1-999
spellingShingle	Analytical solutions mGERFM Symbolic computation Nonlinear evolution equations Physics QC1-999 Yan Cao Hayder A. Dhahad Hasanen M. Hussen Sagr Alamri Ali A. Rajhi Ali E. Anqi Kottakkaran Sooppy Nisar Roshan Noor Mohamed Classes of new analytical soliton solutions to some nonlinear evolution equations
description	Undoubtedly, all applied sciences are closely corresponding to differential equations, especially partial differential equations. This contribution aims to examine the efficiency of a modified version of the generalized exponential rational function method in solving some well-known nonlinear evolution equations. The investigated models in this article include the Zakharov–Kuznetsov, the cubic Boussinesq, and the modified regularized long-wave equation. In the structure of these solutions, various familiar elementary functions, including exponential, trigonometric, and hyperbolic functions are used. This important feature makes it easy to use these solutions in real applications. Numerical behaviors corresponding to the obtained solutions have been demonstrated through some three-dimensional diagrams in the article. This technique can be also adopted in determining wave soliton solution to other equations with partial derivatives.
format	article
author	Yan Cao Hayder A. Dhahad Hasanen M. Hussen Sagr Alamri Ali A. Rajhi Ali E. Anqi Kottakkaran Sooppy Nisar Roshan Noor Mohamed
author_facet	Yan Cao Hayder A. Dhahad Hasanen M. Hussen Sagr Alamri Ali A. Rajhi Ali E. Anqi Kottakkaran Sooppy Nisar Roshan Noor Mohamed
author_sort	Yan Cao
title	Classes of new analytical soliton solutions to some nonlinear evolution equations
title_short	Classes of new analytical soliton solutions to some nonlinear evolution equations
title_full	Classes of new analytical soliton solutions to some nonlinear evolution equations
title_fullStr	Classes of new analytical soliton solutions to some nonlinear evolution equations
title_full_unstemmed	Classes of new analytical soliton solutions to some nonlinear evolution equations
title_sort	classes of new analytical soliton solutions to some nonlinear evolution equations
publisher	Elsevier
publishDate	2021
url	https://doaj.org/article/74a5e7d313494f7aa622734f72e52af8
work_keys_str_mv	AT yancao classesofnewanalyticalsolitonsolutionstosomenonlinearevolutionequations AT hayderadhahad classesofnewanalyticalsolitonsolutionstosomenonlinearevolutionequations AT hasanenmhussen classesofnewanalyticalsolitonsolutionstosomenonlinearevolutionequations AT sagralamri classesofnewanalyticalsolitonsolutionstosomenonlinearevolutionequations AT aliarajhi classesofnewanalyticalsolitonsolutionstosomenonlinearevolutionequations AT alieanqi classesofnewanalyticalsolitonsolutionstosomenonlinearevolutionequations AT kottakkaransooppynisar classesofnewanalyticalsolitonsolutionstosomenonlinearevolutionequations AT roshannoormohamed classesofnewanalyticalsolitonsolutionstosomenonlinearevolutionequations
_version_	1718429963058675712

Classes of new analytical soliton solutions to some nonlinear evolution equations

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