W-shaped chirp free and chirped bright, dark solitons for perturbed nonlinear Schr¨odinger equation in nonlinear optical fibers.
Muniyappan, Annamalai Sharmila, Muthuvel Priya, Elumalai Kaviya Sumithra, Sekar Biswas, Anjan Yıldırım, Yakup Aphane, Maggie Moshokoa, Seithuti P. Alshehri, Hashim M.
Muniyappan, Annamalai
Sharmila, Muthuvel
Priya, Elumalai Kaviya
Sumithra, Sekar
Biswas, Anjan
Yıldırım, Yakup
Aphane, Maggie
Moshokoa, Seithuti P.
Alshehri, Hashim M.
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Abstract
In the present investigation, we employed the Jacobi elliptic function (JEF) method to invoke the perturbed nonlinear Schr¨odinger 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(!), cn(!) and sn(!) functions. The final results are displayed in three-dimensional plots with specific physical values of GVD, SPM and SS for an optical fiber.
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Proceedings of the Estonian Academy of Sciences
Proceedings of the Estonian Academy of Sciences
Proceedings of the Estonian Academy of Sciences
Date
2022-10-03
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Estonian Academy Publishers
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Keywords
Solitons, Jacobi elliptic function method, NLS equation, Differential equation