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- Title
Chirped gap solitons with Kudryashov's law of self-phase modulation having dispersive reflectivity.
- Authors
Al-Ghafri, Khalil S.; Sankar, Mani; Krishnan, Edamana V.; Biswas, Anjan; Asiri, Asim
- Abstract
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.
- Subjects
SELF-phase modulation; NONLINEAR Schrodinger equation; SOLITONS; FIBER Bragg gratings; ELLIPTIC functions; BRAGG gratings
- Publication
Journal of the European Optical Society, 2023, Vol 19, Issue 2, p1
- ISSN
1990-2573
- Publication type
Article
- DOI
10.1051/jeos/2023038