TY - JOUR
T1 - Chirped gap solitons with Kudryashov's law of self-phase modulation having dispersive reflectivity
AU - Al-Ghafri, Khalil S.
AU - Sankar, Mani
AU - Krishnan, Edamana V.
AU - Biswas, Anjan
AU - Asiri, Asim
N1 - Publisher Copyright:
© 2023 Authors.
PY - 2023
Y1 - 2023
N2 - 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.
AB - 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.
KW - Bragg gratings
KW - Chirped gap solitons
KW - Kudryashov's law
UR - http://www.scopus.com/inward/record.url?scp=85176735760&partnerID=8YFLogxK
U2 - 10.1051/jeos/2023038
DO - 10.1051/jeos/2023038
M3 - Article
AN - SCOPUS:85176735760
SN - 1990-2573
VL - 19
JO - Journal of the European Optical Society-Rapid Publications
JF - Journal of the European Optical Society-Rapid Publications
IS - 2
M1 - 40
ER -