Optical solitons of conformable space-time fractional NLSE with spatio-temporal dispersion

Optical solitons of conformable space-time fractional NLSE with spatio-temporal dispersion

In this work, the dynamics of traveling waves of an improved nonlinear space-time fractional Schrödinger's equation with spatio-temporal dispersion in addition to group-velocity dispersion are studied. This equation models the propagation of solitons through nano optical fibers. The fractional...

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Bibliographic Details
Main Authors: Elif Yaşar, Emrullah Yasar
Format: Article
Language:English
Published: BİSKA Bilisim Company 2018-08-01
Series:New Trends in Mathematical Sciences
Subjects:
Solitons
conformable fractional derivative
Spatio-temporal dispersion
exp(-φ(ξ)) method.
Online Access:https://ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8455
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spelling doaj-082874b93da94e24a1438526cd0be5382020-11-24T23:09:40ZengBİSKA Bilisim CompanyNew Trends in Mathematical Sciences2147-55202147-55202018-08-016311612710.20852/ntmsci.2018.3008455Optical solitons of conformable space-time fractional NLSE with spatio-temporal dispersionElif Yaşar0Emrullah Yasar1Uludag UniversityUludag UniversityIn this work, the dynamics of traveling waves of an improved nonlinear space-time fractional Schrödinger's equation with spatio-temporal dispersion in addition to group-velocity dispersion are studied. This equation models the propagation of solitons through nano optical fibers. The fractional derivative form is considered in the meaning of conformable fractional derivative. The exp(-φ(ξ)) algorithm will be carried out for retrieving the optical soliton solutions containing the form of kink and multi-soliton shapes. In addition, some graphical simulations of solutions are provided for better understanding the physical phenomena.https://ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8455Solitonsconformable fractional derivativeSpatio-temporal dispersionexp(-φ(ξ)) method.
collection DOAJ
language English
format Article
sources DOAJ
author Elif Yaşar
Emrullah Yasar
spellingShingle Elif Yaşar
Emrullah Yasar
Optical solitons of conformable space-time fractional NLSE with spatio-temporal dispersion
New Trends in Mathematical Sciences
Solitons
conformable fractional derivative
Spatio-temporal dispersion
exp(-φ(ξ)) method.
author_facet Elif Yaşar
Emrullah Yasar
author_sort Elif Yaşar
title Optical solitons of conformable space-time fractional NLSE with spatio-temporal dispersion
title_short Optical solitons of conformable space-time fractional NLSE with spatio-temporal dispersion
title_full Optical solitons of conformable space-time fractional NLSE with spatio-temporal dispersion
title_fullStr Optical solitons of conformable space-time fractional NLSE with spatio-temporal dispersion
title_full_unstemmed Optical solitons of conformable space-time fractional NLSE with spatio-temporal dispersion
title_sort optical solitons of conformable space-time fractional nlse with spatio-temporal dispersion
publisher BİSKA Bilisim Company
series New Trends in Mathematical Sciences
issn 2147-5520
2147-5520
publishDate 2018-08-01
description In this work, the dynamics of traveling waves of an improved nonlinear space-time fractional Schrödinger's equation with spatio-temporal dispersion in addition to group-velocity dispersion are studied. This equation models the propagation of solitons through nano optical fibers. The fractional derivative form is considered in the meaning of conformable fractional derivative. The exp(-φ(ξ)) algorithm will be carried out for retrieving the optical soliton solutions containing the form of kink and multi-soliton shapes. In addition, some graphical simulations of solutions are provided for better understanding the physical phenomena.
topic Solitons
conformable fractional derivative
Spatio-temporal dispersion
exp(-φ(ξ)) method.
url https://ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8455
work_keys_str_mv AT elifyasar opticalsolitonsofconformablespacetimefractionalnlsewithspatiotemporaldispersion
AT emrullahyasar opticalsolitonsofconformablespacetimefractionalnlsewithspatiotemporaldispersion
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