On the optical solutions to nonlinear Schrödinger equation with second-order spatiotemporal dispersion

In this article, the sine-Gordon expansion method is employed to find some new traveling wave solutions to the nonlinear Schrödinger equation with the coefficients of both group velocity dispersion and second-order spatiotemporal dispersion. The nonlinear model is reduced to an ordinary differential...

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Autores principales: Rezazadeh Hadi, Adel Waleed, Eslami Mostafa, Tariq Kalim U., Mirhosseini-Alizamini Seyed Mehdi, Bekir Ahmet, Chu Yu-Ming
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Lenguaje:EN
Publicado: De Gruyter 2021
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Acceso en línea:https://doaj.org/article/96201a6d4f1c4f018e9d718907fdbef3
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spelling oai:doaj.org-article:96201a6d4f1c4f018e9d718907fdbef32021-12-05T14:11:01ZOn the optical solutions to nonlinear Schrödinger equation with second-order spatiotemporal dispersion2391-547110.1515/phys-2021-0013https://doaj.org/article/96201a6d4f1c4f018e9d718907fdbef32021-03-01T00:00:00Zhttps://doi.org/10.1515/phys-2021-0013https://doaj.org/toc/2391-5471In this article, the sine-Gordon expansion method is employed to find some new traveling wave solutions to the nonlinear Schrödinger equation with the coefficients of both group velocity dispersion and second-order spatiotemporal dispersion. The nonlinear model is reduced to an ordinary differential equation by introducing an intelligible wave transformation. A set of new exact solutions are observed corresponding to various parameters. These novel soliton solutions are depicted in figures, revealing the new physical behavior of the acquired solutions. The method proves its ability to provide good new approximate solutions with some applications in science. Moreover, the associated solution of the presented method can be extended to solve more complex models.Rezazadeh HadiAdel WaleedEslami MostafaTariq Kalim U.Mirhosseini-Alizamini Seyed MehdiBekir AhmetChu Yu-MingDe Gruyterarticlesolitary waveschrödinger equationsine-gordon expansion methodPhysicsQC1-999ENOpen Physics, Vol 19, Iss 1, Pp 111-118 (2021)
institution DOAJ
collection DOAJ
language EN
topic solitary wave
schrödinger equation
sine-gordon expansion method
Physics
QC1-999
spellingShingle solitary wave
schrödinger equation
sine-gordon expansion method
Physics
QC1-999
Rezazadeh Hadi
Adel Waleed
Eslami Mostafa
Tariq Kalim U.
Mirhosseini-Alizamini Seyed Mehdi
Bekir Ahmet
Chu Yu-Ming
On the optical solutions to nonlinear Schrödinger equation with second-order spatiotemporal dispersion
description In this article, the sine-Gordon expansion method is employed to find some new traveling wave solutions to the nonlinear Schrödinger equation with the coefficients of both group velocity dispersion and second-order spatiotemporal dispersion. The nonlinear model is reduced to an ordinary differential equation by introducing an intelligible wave transformation. A set of new exact solutions are observed corresponding to various parameters. These novel soliton solutions are depicted in figures, revealing the new physical behavior of the acquired solutions. The method proves its ability to provide good new approximate solutions with some applications in science. Moreover, the associated solution of the presented method can be extended to solve more complex models.
format article
author Rezazadeh Hadi
Adel Waleed
Eslami Mostafa
Tariq Kalim U.
Mirhosseini-Alizamini Seyed Mehdi
Bekir Ahmet
Chu Yu-Ming
author_facet Rezazadeh Hadi
Adel Waleed
Eslami Mostafa
Tariq Kalim U.
Mirhosseini-Alizamini Seyed Mehdi
Bekir Ahmet
Chu Yu-Ming
author_sort Rezazadeh Hadi
title On the optical solutions to nonlinear Schrödinger equation with second-order spatiotemporal dispersion
title_short On the optical solutions to nonlinear Schrödinger equation with second-order spatiotemporal dispersion
title_full On the optical solutions to nonlinear Schrödinger equation with second-order spatiotemporal dispersion
title_fullStr On the optical solutions to nonlinear Schrödinger equation with second-order spatiotemporal dispersion
title_full_unstemmed On the optical solutions to nonlinear Schrödinger equation with second-order spatiotemporal dispersion
title_sort on the optical solutions to nonlinear schrödinger equation with second-order spatiotemporal dispersion
publisher De Gruyter
publishDate 2021
url https://doaj.org/article/96201a6d4f1c4f018e9d718907fdbef3
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