Title: W-shaped chirp free and chirped bright, dark solitons for perturbed nonlinear Schrodinger equation in nonlinear optical fibers.
Authors: Muniyappan, Annamalai; Sharmila, Muthuvel; Priya, Elumalai Kaviya; Sumithra, Sekar; Biswas, Anjan; Yıldırım, Yakup; Aphane, Maggie; Moshokoa, Seithuti P.; Alshehri, Hashim M.
Abstract: In the present investigation, we employed the Jacobi elliptic function (JEF) method to invoke the perturbed nonlinear Schrodinger 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(ξ ), cn(ξ ) and sn(ξ ) functions. The final results are displayed in three-dimensional plots with specific physical values of GVD, SPM and SS for an optical fiber.
Subjects: OPTICAL fibers; NONLINEAR equations; DIFFERENTIAL equations; SOLITONS; GROUP velocity dispersion; OPTICAL solitons; ELLIPTIC functions; SCHRODINGER equation; FEMTOSECOND pulses
Publication: Proceedings of the Estonian Academy of Sciences, 2023, Vol 72, Issue 2, p128
ISSN: 1736-6046
Publication type: Academic Journal
DOI: 10.3176/proc.2023.2.04

W-shaped chirp free and chirped bright, dark solitons for perturbed nonlinear Schrodinger 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.