W-shaped chirp free and chirped bright, dark solitons for perturbed nonlinear Schrödinger equation in nonlinear optical fibers

Annamalai Muniyappan; Muthuvel Sharmila; Elumalai Kaviya Priya; Sekar Sumithra; Anjan Biswas; Yakup Yıldırım; Maggie Aphane; Seithuti P. Moshokoa; Hashim M. Alshehri

doi:10.3176/proc.2023.2.04

Proceedings of the Estonian Academy of Sciences (Mar 2023)

W-shaped chirp free and chirped bright, dark solitons for perturbed nonlinear Schrödinger equation in nonlinear optical fibers

Annamalai Muniyappan,
Muthuvel Sharmila,
Elumalai Kaviya Priya,
Sekar Sumithra,
Anjan Biswas,
Yakup Yıldırım,
Maggie Aphane,
Seithuti P. Moshokoa,
Hashim M. Alshehri

Affiliations

Annamalai Muniyappan: Department of Physics, Theivanai Ammal College for Women (A), Villupuram 605 401, Tamilnadu, India
Muthuvel Sharmila: Department of Physics, Theivanai Ammal College for Women (A), Villupuram 605 401, Tamilnadu, India
Elumalai Kaviya Priya: Department of Physics, Theivanai Ammal College for Women (A), Villupuram 605 401, Tamilnadu, India
Sekar Sumithra: Department of Physics, Theivanai Ammal College for Women (A), Villupuram 605 401, Tamilnadu, India
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
Yakup Yıldırım: 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
Hashim M. Alshehri: 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.2023.2.04
Journal volume & issue: Vol. 72, no. 2
pp. 128 – 144

Abstract

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In the present investigation, we employed the Jacobi elliptic function (JEF) method to invoke the perturbed nonlinear SchrÃ¶dinger equation with self-steepening (SS), self-phase modulation (SPM), and group velocity dispersion (GVD), which govern the propagation of solitonic pulses in optical fibres. The proposed algorithm proves the existence of the family of solitons in optical fibers. Consequently, chirped and chirp free W-shaped bright, dark soliton solutions are obtained from dn(Î¾), cn(Î¾) and sn(Î¾) functions. The final results are displayed in three-dimensional plots with specific physical values of GVD, SPM and SS for an optical fiber.

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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