Gap Solitons in Fiber Bragg Gratings Having Polynomial Law of Nonlinear Refractive Index and Cubic–Quartic Dispersive Reflectivity by Lie Symmetry

Sandeep Malik; Sachin Kumar; Anjan Biswas; Yakup Yıldırım; Luminita Moraru; Simona Moldovanu; Catalina Iticescu; Seithuti P. Moshokoa; Dorin Bibicu; Abdulaziz Alotaibi

doi:10.3390/sym15050963

Gap Solitons in Fiber Bragg Gratings Having Polynomial Law of Nonlinear Refractive Index and Cubic–Quartic Dispersive Reflectivity by Lie Symmetry

Sandeep Malik, Sachin Kumar, Anjan Biswas, Yakup Yıldırım, Luminita Moraru^*, Simona Moldovanu, Catalina Iticescu, Seithuti P. Moshokoa, Dorin Bibicu, Abdulaziz Alotaibi

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

18 Citations (Scopus)

Abstract

The current paper recovers cubic–quartic optical solitons in fiber Bragg gratings having polynomial law of nonlinear refractive index structures. Lie symmetry analysis is carried out, starting with the basic analysis. Then, it is followed through with improved Kudryashov and generalized Arnous schemes. The parameter constraints are also identified for the existence of such solitons. Numerical surface plots support the adopted applied analysis.

Original language	English
Article number	963
Journal	Symmetry
Volume	15
Issue number	5
DOIs	https://doi.org/10.3390/sym15050963
Publication status	Published - May 2023
Externally published	Yes

Keywords

Arnous
Kudryashov
Lie symmetry
polynomial
solitons

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10.3390/sym15050963

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title = "Gap Solitons in Fiber Bragg Gratings Having Polynomial Law of Nonlinear Refractive Index and Cubic–Quartic Dispersive Reflectivity by Lie Symmetry",

abstract = "The current paper recovers cubic–quartic optical solitons in fiber Bragg gratings having polynomial law of nonlinear refractive index structures. Lie symmetry analysis is carried out, starting with the basic analysis. Then, it is followed through with improved Kudryashov and generalized Arnous schemes. The parameter constraints are also identified for the existence of such solitons. Numerical surface plots support the adopted applied analysis.",

keywords = "Arnous, Kudryashov, Lie symmetry, polynomial, solitons",

author = "Sandeep Malik and Sachin Kumar and Anjan Biswas and Yakup Yıldırım and Luminita Moraru and Simona Moldovanu and Catalina Iticescu and Moshokoa, {Seithuti P.} and Dorin Bibicu and Abdulaziz Alotaibi",

note = "Publisher Copyright: {\textcopyright} 2023 by the authors.",

year = "2023",

month = may,

doi = "10.3390/sym15050963",

language = "English",

volume = "15",

journal = "Symmetry",

issn = "2073-8994",

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T1 - Gap Solitons in Fiber Bragg Gratings Having Polynomial Law of Nonlinear Refractive Index and Cubic–Quartic Dispersive Reflectivity by Lie Symmetry

AU - Malik, Sandeep

AU - Kumar, Sachin

AU - Biswas, Anjan

AU - Yıldırım, Yakup

AU - Moraru, Luminita

AU - Moldovanu, Simona

AU - Iticescu, Catalina

AU - Moshokoa, Seithuti P.

AU - Bibicu, Dorin

AU - Alotaibi, Abdulaziz

PY - 2023/5

Y1 - 2023/5

N2 - The current paper recovers cubic–quartic optical solitons in fiber Bragg gratings having polynomial law of nonlinear refractive index structures. Lie symmetry analysis is carried out, starting with the basic analysis. Then, it is followed through with improved Kudryashov and generalized Arnous schemes. The parameter constraints are also identified for the existence of such solitons. Numerical surface plots support the adopted applied analysis.

AB - The current paper recovers cubic–quartic optical solitons in fiber Bragg gratings having polynomial law of nonlinear refractive index structures. Lie symmetry analysis is carried out, starting with the basic analysis. Then, it is followed through with improved Kudryashov and generalized Arnous schemes. The parameter constraints are also identified for the existence of such solitons. Numerical surface plots support the adopted applied analysis.

KW - Arnous

KW - Kudryashov

KW - Lie symmetry

KW - polynomial

KW - solitons

UR - http://www.scopus.com/inward/record.url?scp=85160521794&partnerID=8YFLogxK

U2 - 10.3390/sym15050963

DO - 10.3390/sym15050963

M3 - Article

AN - SCOPUS:85160521794

SN - 2073-8994

VL - 15

JO - Symmetry

JF - Symmetry

IS - 5

M1 - 963

ER -

Gap Solitons in Fiber Bragg Gratings Having Polynomial Law of Nonlinear Refractive Index and Cubic–Quartic Dispersive Reflectivity by Lie Symmetry

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Keywords

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