Highly dispersive optical soliton perturbation with Kerr law for complex Ginzburg–Landau equation

Ming-Yue Wang; Anjan Biswas; Yakup Yıldırım; Maggie Aphane; Seithuti P. Moshokoa; Abdulah A. Alghamdi

doi:10.3176/proc.2024.1.02

Proceedings of the Estonian Academy of Sciences (Dec 2023)

Highly dispersive optical soliton perturbation with Kerr law for complex Ginzburg–Landau equation

Ming-Yue Wang,
Anjan Biswas,
Yakup Yıldırım,
Maggie Aphane,
Seithuti P. Moshokoa,
Abdulah A. Alghamdi

Affiliations

Ming-Yue Wang: Department of Mathematics, Northeast Petroleum University, Daqing 163318, China
Anjan Biswas: Department of Mathematics and Physics, Grambling State University, Grambling, LA 71245, USA; 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
Yakup Yıldırım: Department of Computer Engineering, Biruni University, Istanbul 34010, Turkey; Department of Mathematics, Faculty of Arts and Sciences, Near East University, 99138 Nicosia, Cyprus
Maggie Aphane: Department of Mathematics and Applied Mathematics, Sefako Makgatho Health Sciences University, Medunsa 0204, South Africa
Seithuti P. Moshokoa: Department of Mathematics and Statistics, Tshwane University of Technology, Pretoria 0008, South Africa
Abdulah A. Alghamdi: Mathematical Modeling and Applied Computation (MMAC) Research Group, Department of Mathematics, King Abdulaziz University, Jeddah 21589, Saudi Arabia

DOI: https://doi.org/10.3176/proc.2024.1.02
Journal volume & issue: Vol. 73, no. 1
pp. 6 – 16

Abstract

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In this paper, highly dispersive optical solitons are obtained with the perturbed complex GinzburgâLandau equation, incorporating the Kerr law of nonlinearity, by the complete discriminant classification approach. A variety of solutions emerge from this scheme that include solitons, periodic solutions and doubly periodic solutions. The numerical sketches support the analytical findings.

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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