Optical solitons in fiber Bragg gratings with quadratic-cubic law of nonlinear refractive index and cubic-quartic dispersive reflectivity

Elsayed M. E. Zayed; Mohamed E. M. Alngar; Anjan Biswas; Mehmet Ekici; Salam Khan; Abdullah K. Alzahrani; Milivoj R. Belic

doi:10.3176/proc.2022.2.05

Proceedings of the Estonian Academy of Sciences (May 2022)

Optical solitons in fiber Bragg gratings with quadratic-cubic law of nonlinear refractive index and cubic-quartic dispersive reflectivity

Elsayed M. E. Zayed,
Mohamed E. M. Alngar,
Anjan Biswas,
Mehmet Ekici,
Salam Khan,
Abdullah K. Alzahrani,
Milivoj R. Belic

Affiliations

Elsayed M. E. Zayed: Mathematics Department, Faculty of Science, Zagazig University, Zagazig 44519, Egypt
Mohamed E. M. Alngar: Mathematics Department, Faculty of Science, Zagazig University, Zagazig 44519, Egypt
Anjan Biswas: Department of Physics, Chemistry and Mathematics, Alabama A&M University, Normal, AL 35762-4900, USA; Mathematical Modeling and Applied Computation (MMAC) Research Group, Department of Mathematics, King Abdulaziz University, Jeddah 21589, Saudi Arabia; Department of Applied Sciences, Cross-Border Faculty, Dunarea de Jos University of Galati, 111 Domneasca St., 800201 Galati, Romania; Department of Mathematics and Applied Mathematics, Sefako Makgatho Health Sciences University, Medunsa 0204, Pretoria, South Africa
Mehmet Ekici: Department of Mathematics, Faculty of Science and Arts, Yozgat Bozok University, 66100 Yozgat, Turkey
Salam Khan: Department of Physics, Chemistry and Mathematics, Alabama A
Abdullah K. Alzahrani: Mathematical Modeling and Applied Computation (MMAC) Research Group, Department of Mathematics, King Abdulaziz University, Jeddah 21589, Saudi Arabia
Milivoj R. Belic: Institute of Physics Belgrade, Pregrevica 118, 11080 Zemun, Serbia

DOI: https://doi.org/10.3176/proc.2022.2.05
Journal volume & issue: Vol. 71, no. 2
pp. 165 – 177

Abstract

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This paper recovers cubic-quartic perturbed solitons in fiber Bragg gratings with quadratic-cubic law nonlinear refractive index. The unified Riccati equation expansion method and the modified Kudryashovâs approach make this retrieval of soliton solutions possible. The parameter constraints, for the existence of such solitons, are also presented.

Published in Proceedings of the Estonian Academy of Sciences

ISSN: 1736-6046 (Print); 1736-7530 (Online)
Publisher: Estonian Academy Publishers
Country of publisher: Estonia
LCC subjects: Science
Website: https://eap.ee/proceedings/

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