Some exact wave solutions to a variety of the Schrödinger equation with two nonlinearity laws and conformable derivative

In this paper, two available variants of the Schrödinger equation are studied. These two nonlinear models are characterized by considering two nonlinearity types, including Kerr and power-laws, and the conformable derivative. The integration method used in this manuscript is the generalized exponent...

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Autores principales:	Yan Cao, Foroud Parvaneh, Sagr Alamri, Ali A. Rajhi, Ali E. Anqi
Formato:	article
Lenguaje:	EN
Publicado:	Elsevier 2021
Materias:	Exact solutions Symbolic computation Nonlinear Schrödinger equation PDEs Conformable derivative Physics QC1-999
Acceso en línea:	https://doaj.org/article/b68cfc57325d4e66b442daab95875c7b
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spelling	oai:doaj.org-article:b68cfc57325d4e66b442daab95875c7b2021-11-04T04:30:00ZSome exact wave solutions to a variety of the Schrödinger equation with two nonlinearity laws and conformable derivative2211-379710.1016/j.rinp.2021.104929https://doaj.org/article/b68cfc57325d4e66b442daab95875c7b2021-12-01T00:00:00Zhttp://www.sciencedirect.com/science/article/pii/S2211379721009542https://doaj.org/toc/2211-3797In this paper, two available variants of the Schrödinger equation are studied. These two nonlinear models are characterized by considering two nonlinearity types, including Kerr and power-laws, and the conformable derivative. The integration method used in this manuscript is the generalized exponential rational function method, which is an efficient method for solving equations with partial derivatives. The technique introduces a wide range of analytical solutions for these specific structures that were not proposed in the previous literature. To investigate the behavioral characteristics and physical features of these solutions some 2D and 3D figures have been demonstrated. The method employed in this paper was able to inspect the analytical solutions for the considered equations without having the usual complexities in some other known analytical techniques. This property is one of the strengths of the present contribution. Further, the utilized method can be easily adopted for solving other nonlinear models arising in mathematical physics.Yan CaoForoud ParvanehSagr AlamriAli A. RajhiAli E. AnqiElsevierarticleExact solutionsSymbolic computationNonlinear Schrödinger equationPDEsConformable derivativePhysicsQC1-999ENResults in Physics, Vol 31, Iss , Pp 104929- (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Exact solutions Symbolic computation Nonlinear Schrödinger equation PDEs Conformable derivative Physics QC1-999
spellingShingle	Exact solutions Symbolic computation Nonlinear Schrödinger equation PDEs Conformable derivative Physics QC1-999 Yan Cao Foroud Parvaneh Sagr Alamri Ali A. Rajhi Ali E. Anqi Some exact wave solutions to a variety of the Schrödinger equation with two nonlinearity laws and conformable derivative
description	In this paper, two available variants of the Schrödinger equation are studied. These two nonlinear models are characterized by considering two nonlinearity types, including Kerr and power-laws, and the conformable derivative. The integration method used in this manuscript is the generalized exponential rational function method, which is an efficient method for solving equations with partial derivatives. The technique introduces a wide range of analytical solutions for these specific structures that were not proposed in the previous literature. To investigate the behavioral characteristics and physical features of these solutions some 2D and 3D figures have been demonstrated. The method employed in this paper was able to inspect the analytical solutions for the considered equations without having the usual complexities in some other known analytical techniques. This property is one of the strengths of the present contribution. Further, the utilized method can be easily adopted for solving other nonlinear models arising in mathematical physics.
format	article
author	Yan Cao Foroud Parvaneh Sagr Alamri Ali A. Rajhi Ali E. Anqi
author_facet	Yan Cao Foroud Parvaneh Sagr Alamri Ali A. Rajhi Ali E. Anqi
author_sort	Yan Cao
title	Some exact wave solutions to a variety of the Schrödinger equation with two nonlinearity laws and conformable derivative
title_short	Some exact wave solutions to a variety of the Schrödinger equation with two nonlinearity laws and conformable derivative
title_full	Some exact wave solutions to a variety of the Schrödinger equation with two nonlinearity laws and conformable derivative
title_fullStr	Some exact wave solutions to a variety of the Schrödinger equation with two nonlinearity laws and conformable derivative
title_full_unstemmed	Some exact wave solutions to a variety of the Schrödinger equation with two nonlinearity laws and conformable derivative
title_sort	some exact wave solutions to a variety of the schrödinger equation with two nonlinearity laws and conformable derivative
publisher	Elsevier
publishDate	2021
url	https://doaj.org/article/b68cfc57325d4e66b442daab95875c7b
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Some exact wave solutions to a variety of the Schrödinger equation with two nonlinearity laws and conformable derivative

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