Chirped gap solitons with Kudryashov’s law of self-phase modulation having dispersive reflectivity

Autor: Al-Ghafri Khalil S., Sankar Mani, Krishnan Edamana V., Biswas Anjan, Asiri Asim
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: Journal of the European Optical Society-Rapid Publications, Vol 19, Iss 2, p 40 (2023)
Druh dokumentu: article
ISSN: 1990-2573
DOI: 10.1051/jeos/2023038
Popis: The present study is devoted to investigate the chirped gap solitons with Kudryashov’s law of self-phase modulation having dispersive reflectivity. Thus, the mathematical model consists of coupled nonlinear Schrödinger equation (NLSE) that describes pulse propagation in a medium of fiber Bragg gratings (BGs). To reach an integrable form for this intricate model, the phase-matching condition is applied to derive equivalent equations that are handled analytically. By means of auxiliary equation method which possesses Jacobi elliptic function (JEF) solutions, various forms of soliton solutions are extracted when the modulus of JEF approaches 1. The generated chirped gap solitons have different types of structures such as bright, dark, singular, W-shaped, kink, anti-kink and Kink-dark solitons. Further to this, two soliton waves namely chirped bright quasi-soliton and chirped dark quasi-soliton are also created. The dynamic behaviors of chirped gap solitons are illustrated in addition to their corresponding chirp. It is noticed that self-phase modulation and dispersive reflectivity have remarkable influences on the pulse propagation. These detailed results may enhance the engineering applications related to the field of fiber BGs.
Databáze: Directory of Open Access Journals
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