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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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 |
_version_ |
1725609901895450624 |