On the modulation instability analysis and deeper properties of the cubic nonlinear Schr¨odinger’s equation with repulsive δ-potential

This projected work applies the generalized exponential rational function method to extract the complex, trigonometric, hyperbolic, dark bright soliton solutions of the cubic nonlinear Schrödinger’s equation. Moreover, trigonometric, complex, strain conditions and dark-bright soliton wave distributi...

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Detalles Bibliográficos
Autores: Li, Yi-Xia, Celik, Ercan, García Guirao, Juan Luis, Saeed, Tareq, Baskonus, Haci Mehmet
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2021
País:España
Institución:Universidad Politécnica de Cartagena(UPCT)
Repositorio:Repositorio Digital UPCT
OAI Identifier:oai:repositorio.upct.es:10317/11093
Acceso en línea:http://hdl.handle.net/10317/11093
https://www.sciencedirect.com/science/article/pii/S2211379721004356
Access Level:acceso abierto
Palabra clave:The cubic nonlinear Schrödinger’s equation
The generalized exponential rational function method
Modulation instability analysis
Hyperbolic and dark bright soliton solutions
Matemática Aplicada
12 Matemáticas
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spelling On the modulation instability analysis and deeper properties of the cubic nonlinear Schr¨odinger’s equation with repulsive δ-potentialLi, Yi-XiaCelik, ErcanGarcía Guirao, Juan LuisSaeed, TareqBaskonus, Haci MehmetThe cubic nonlinear Schrödinger’s equationThe generalized exponential rational function methodModulation instability analysisHyperbolic and dark bright soliton solutionsMatemática Aplicada12 MatemáticasThis projected work applies the generalized exponential rational function method to extract the complex, trigonometric, hyperbolic, dark bright soliton solutions of the cubic nonlinear Schrödinger’s equation. Moreover, trigonometric, complex, strain conditions and dark-bright soliton wave distributions are also reported. Furthermore, the modulation instability analysis is also studied in detail. To better understand the dynamic behavior of some of the obtained solutions, several numerical simulations are presented in the paper. According to the obtained results, it is clear that the method has less limitations than other methods in determining the exact solutions of the equations. Despite the simplicity and ease of use of this method, it has a very powerful performance and is able to introduce a wide range of different types of solutions to such equations. The idea used in this paper is readily applicable to solving other partial differential equations in mathematical physics.Fundación Séneca (Spain), grant 20783/PI/18., and Ministry of Science, Innovation and Universities (Spain), grant PGC2018-097198-B- 100. Moreoer, this projected work was partially (not financial) supported by Harran University with the project HUBAP ID:20124.ElsevierFundación SénecaMinisterio de Ciencia, Innovación y UniversidadesHarran University202220222021info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfapplication/pdfhttp://hdl.handle.net/10317/11093https://www.sciencedirect.com/science/article/pii/S2211379721004356reponame:Repositorio Digital UPCTinstname:Universidad Politécnica de Cartagena(UPCT)Inglés20783/PI/18PGC2018-097198-B- 100HUBAP ID:20124Atribución-NoComercial-SinDerivadas 3.0 Españahttp://creativecommons.org/licenses/by-nc-nd/3.0/es/info:eu-repo/semantics/openAccessoai:repositorio.upct.es:10317/110932026-05-15T06:39:02Z
dc.title.none.fl_str_mv On the modulation instability analysis and deeper properties of the cubic nonlinear Schr¨odinger’s equation with repulsive δ-potential
title On the modulation instability analysis and deeper properties of the cubic nonlinear Schr¨odinger’s equation with repulsive δ-potential
spellingShingle On the modulation instability analysis and deeper properties of the cubic nonlinear Schr¨odinger’s equation with repulsive δ-potential
Li, Yi-Xia
The cubic nonlinear Schrödinger’s equation
The generalized exponential rational function method
Modulation instability analysis
Hyperbolic and dark bright soliton solutions
Matemática Aplicada
12 Matemáticas
title_short On the modulation instability analysis and deeper properties of the cubic nonlinear Schr¨odinger’s equation with repulsive δ-potential
title_full On the modulation instability analysis and deeper properties of the cubic nonlinear Schr¨odinger’s equation with repulsive δ-potential
title_fullStr On the modulation instability analysis and deeper properties of the cubic nonlinear Schr¨odinger’s equation with repulsive δ-potential
title_full_unstemmed On the modulation instability analysis and deeper properties of the cubic nonlinear Schr¨odinger’s equation with repulsive δ-potential
title_sort On the modulation instability analysis and deeper properties of the cubic nonlinear Schr¨odinger’s equation with repulsive δ-potential
dc.creator.none.fl_str_mv Li, Yi-Xia
Celik, Ercan
García Guirao, Juan Luis
Saeed, Tareq
Baskonus, Haci Mehmet
author Li, Yi-Xia
author_facet Li, Yi-Xia
Celik, Ercan
García Guirao, Juan Luis
Saeed, Tareq
Baskonus, Haci Mehmet
author_role author
author2 Celik, Ercan
García Guirao, Juan Luis
Saeed, Tareq
Baskonus, Haci Mehmet
author2_role author
author
author
author
dc.contributor.none.fl_str_mv Fundación Séneca
Ministerio de Ciencia, Innovación y Universidades
Harran University
dc.subject.none.fl_str_mv The cubic nonlinear Schrödinger’s equation
The generalized exponential rational function method
Modulation instability analysis
Hyperbolic and dark bright soliton solutions
Matemática Aplicada
12 Matemáticas
topic The cubic nonlinear Schrödinger’s equation
The generalized exponential rational function method
Modulation instability analysis
Hyperbolic and dark bright soliton solutions
Matemática Aplicada
12 Matemáticas
description This projected work applies the generalized exponential rational function method to extract the complex, trigonometric, hyperbolic, dark bright soliton solutions of the cubic nonlinear Schrödinger’s equation. Moreover, trigonometric, complex, strain conditions and dark-bright soliton wave distributions are also reported. Furthermore, the modulation instability analysis is also studied in detail. To better understand the dynamic behavior of some of the obtained solutions, several numerical simulations are presented in the paper. According to the obtained results, it is clear that the method has less limitations than other methods in determining the exact solutions of the equations. Despite the simplicity and ease of use of this method, it has a very powerful performance and is able to introduce a wide range of different types of solutions to such equations. The idea used in this paper is readily applicable to solving other partial differential equations in mathematical physics.
publishDate 2021
dc.date.none.fl_str_mv 2021
2022
2022
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/10317/11093
https://www.sciencedirect.com/science/article/pii/S2211379721004356
url http://hdl.handle.net/10317/11093
https://www.sciencedirect.com/science/article/pii/S2211379721004356
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv 20783/PI/18
PGC2018-097198-B- 100
HUBAP ID:20124
dc.rights.none.fl_str_mv Atribución-NoComercial-SinDerivadas 3.0 España
http://creativecommons.org/licenses/by-nc-nd/3.0/es/
info:eu-repo/semantics/openAccess
rights_invalid_str_mv Atribución-NoComercial-SinDerivadas 3.0 España
http://creativecommons.org/licenses/by-nc-nd/3.0/es/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
dc.source.none.fl_str_mv reponame:Repositorio Digital UPCT
instname:Universidad Politécnica de Cartagena(UPCT)
instname_str Universidad Politécnica de Cartagena(UPCT)
reponame_str Repositorio Digital UPCT
collection Repositorio Digital UPCT
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,300719

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