Cubic–quartic optical solitons in fiber Bragg gratings with Kerr law of nonlinearity and dispersive reflectivity by Lie symmetry

Hashim M. Alshehri; Dalal A. Maturi; Dalal H. Al-Bogami; Sachin Kumar; Yakup Yıldırım; Anjan Biswas

doi:10.1016/j.ijleo.2022.169927

Cubic–quartic optical solitons in fiber Bragg gratings with Kerr law of nonlinearity and dispersive reflectivity by Lie symmetry

Hashim M. Alshehri, Dalal A. Maturi, Dalal H. Al-Bogami, Sachin Kumar, Yakup Yıldırım^*, Anjan Biswas

^*Corresponding author for this work

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

1 Citation (Scopus)

Abstract

The present study derives cubic–quartic optical solitons in fiber Bragg gratings having Kerr law of nonlinearity along with dispersive reflectivity. The Lie symmetry analysis collapses the coupled partial differential equations to a coupled set of ordinary differential equations. They are subsequently solved to recover singular and dark solitons to the model. The numerical simulations support the analytical findings.

Original language	English
Article number	169927
Journal	Optik
Volume	270
DOIs	https://doi.org/10.1016/j.ijleo.2022.169927
Publication status	Published - Nov 2022
Externally published	Yes

Keywords

Bragg gratings
Lie symmetry
Solitons

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10.1016/j.ijleo.2022.169927

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title = "Cubic–quartic optical solitons in fiber Bragg gratings with Kerr law of nonlinearity and dispersive reflectivity by Lie symmetry",

abstract = "The present study derives cubic–quartic optical solitons in fiber Bragg gratings having Kerr law of nonlinearity along with dispersive reflectivity. The Lie symmetry analysis collapses the coupled partial differential equations to a coupled set of ordinary differential equations. They are subsequently solved to recover singular and dark solitons to the model. The numerical simulations support the analytical findings.",

keywords = "Bragg gratings, Lie symmetry, Solitons",

author = "Alshehri, {Hashim M.} and Maturi, {Dalal A.} and Al-Bogami, {Dalal H.} and Sachin Kumar and Yakup Yıldırım and Anjan Biswas",

note = "Publisher Copyright: {\textcopyright} 2022 Elsevier GmbH",

year = "2022",

month = nov,

doi = "10.1016/j.ijleo.2022.169927",

language = "English",

volume = "270",

journal = "Optik",

issn = "0030-4026",

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T1 - Cubic–quartic optical solitons in fiber Bragg gratings with Kerr law of nonlinearity and dispersive reflectivity by Lie symmetry

AU - Alshehri, Hashim M.

AU - Maturi, Dalal A.

AU - Al-Bogami, Dalal H.

AU - Kumar, Sachin

AU - Yıldırım, Yakup

AU - Biswas, Anjan

PY - 2022/11

Y1 - 2022/11

N2 - The present study derives cubic–quartic optical solitons in fiber Bragg gratings having Kerr law of nonlinearity along with dispersive reflectivity. The Lie symmetry analysis collapses the coupled partial differential equations to a coupled set of ordinary differential equations. They are subsequently solved to recover singular and dark solitons to the model. The numerical simulations support the analytical findings.

AB - The present study derives cubic–quartic optical solitons in fiber Bragg gratings having Kerr law of nonlinearity along with dispersive reflectivity. The Lie symmetry analysis collapses the coupled partial differential equations to a coupled set of ordinary differential equations. They are subsequently solved to recover singular and dark solitons to the model. The numerical simulations support the analytical findings.

KW - Bragg gratings

KW - Lie symmetry

KW - Solitons

UR - http://www.scopus.com/inward/record.url?scp=85138080151&partnerID=8YFLogxK

U2 - 10.1016/j.ijleo.2022.169927

DO - 10.1016/j.ijleo.2022.169927

M3 - Article

AN - SCOPUS:85138080151

SN - 0030-4026

VL - 270

JO - Optik

JF - Optik

M1 - 169927

ER -

Cubic–quartic optical solitons in fiber Bragg gratings with Kerr law of nonlinearity and dispersive reflectivity by Lie symmetry

Abstract

Keywords

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