Optical Solitons with Beta and M-Truncated Derivatives in Nonlinear Negative-Index Materials with Bohm Potential

In this article, we explore solitary wave structures in nonlinear negative-index materials with beta and M-truncated fractional derivatives with the existence of a Bohm potential. The consideration of Bohm potential produced quantum phase behavior in electromagnetic waves. The applied technique is t...

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Main Authors: Muhammad Bilal Riaz, Jan Awrejcewicz, Adil Jhangeer
Format: Article
Language:English
Published: MDPI AG 2021-09-01
Series:Materials
Subjects:
Online Access:https://www.mdpi.com/1996-1944/14/18/5335
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spelling doaj-3eab898726e446f5bc7fd4830454ee092021-09-26T00:37:00ZengMDPI AGMaterials1996-19442021-09-01145335533510.3390/ma14185335Optical Solitons with Beta and M-Truncated Derivatives in Nonlinear Negative-Index Materials with Bohm PotentialMuhammad Bilal Riaz0Jan Awrejcewicz1Adil Jhangeer2Department of Automation, Biomechanics and Mechatronics, Lodz University of Technology, 1/15 Stefanowskiego St., 90-924 Lodz, PolandDepartment of Automation, Biomechanics and Mechatronics, Lodz University of Technology, 1/15 Stefanowskiego St., 90-924 Lodz, PolandDepartment of Mathematics, Namal University, Talagang Road, Mianwali 42250, PakistanIn this article, we explore solitary wave structures in nonlinear negative-index materials with beta and M-truncated fractional derivatives with the existence of a Bohm potential. The consideration of Bohm potential produced quantum phase behavior in electromagnetic waves. The applied technique is the New extended algebraic method. By use of this approach, acquired solutions convey various types of new families containing dark, dark-singular, dark-bright, and singular solutions of Type 1 and 2. Moreover, the constraint conditions for the presence of the obtained solutions are a side-effect of this technique. Finally, graphical structures are depicted.https://www.mdpi.com/1996-1944/14/18/5335optical solitonsnew extended direct algebraic methodgraphical structurebohm potentialnegative-index materials
collection DOAJ
language English
format Article
sources DOAJ
author Muhammad Bilal Riaz
Jan Awrejcewicz
Adil Jhangeer
spellingShingle Muhammad Bilal Riaz
Jan Awrejcewicz
Adil Jhangeer
Optical Solitons with Beta and M-Truncated Derivatives in Nonlinear Negative-Index Materials with Bohm Potential
Materials
optical solitons
new extended direct algebraic method
graphical structure
bohm potential
negative-index materials
author_facet Muhammad Bilal Riaz
Jan Awrejcewicz
Adil Jhangeer
author_sort Muhammad Bilal Riaz
title Optical Solitons with Beta and M-Truncated Derivatives in Nonlinear Negative-Index Materials with Bohm Potential
title_short Optical Solitons with Beta and M-Truncated Derivatives in Nonlinear Negative-Index Materials with Bohm Potential
title_full Optical Solitons with Beta and M-Truncated Derivatives in Nonlinear Negative-Index Materials with Bohm Potential
title_fullStr Optical Solitons with Beta and M-Truncated Derivatives in Nonlinear Negative-Index Materials with Bohm Potential
title_full_unstemmed Optical Solitons with Beta and M-Truncated Derivatives in Nonlinear Negative-Index Materials with Bohm Potential
title_sort optical solitons with beta and m-truncated derivatives in nonlinear negative-index materials with bohm potential
publisher MDPI AG
series Materials
issn 1996-1944
publishDate 2021-09-01
description In this article, we explore solitary wave structures in nonlinear negative-index materials with beta and M-truncated fractional derivatives with the existence of a Bohm potential. The consideration of Bohm potential produced quantum phase behavior in electromagnetic waves. The applied technique is the New extended algebraic method. By use of this approach, acquired solutions convey various types of new families containing dark, dark-singular, dark-bright, and singular solutions of Type 1 and 2. Moreover, the constraint conditions for the presence of the obtained solutions are a side-effect of this technique. Finally, graphical structures are depicted.
topic optical solitons
new extended direct algebraic method
graphical structure
bohm potential
negative-index materials
url https://www.mdpi.com/1996-1944/14/18/5335
work_keys_str_mv AT muhammadbilalriaz opticalsolitonswithbetaandmtruncatedderivativesinnonlinearnegativeindexmaterialswithbohmpotential
AT janawrejcewicz opticalsolitonswithbetaandmtruncatedderivativesinnonlinearnegativeindexmaterialswithbohmpotential
AT adiljhangeer opticalsolitonswithbetaandmtruncatedderivativesinnonlinearnegativeindexmaterialswithbohmpotential
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