Propagation of chirped periodic and localized waves with higher-order effects through optical fibers

Daoui, Abdel Kader; Messouber, Abdelouahab; Triki, Houria; Zhou, Qin; Biswas, Anjan; Liu, Wenjun; Alzahrani, Abdullah; Belić, Milivoj R.

doi:10.1016/j.chaos.2021.110873

Cited by 31 publications

(2 citation statements)

References 34 publications

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“…Many experts have dealt with various mathematical models to derive miscellaneous types of chirped solitons by means of several analytical techniques. Some of obtained soliton structures include kink, dark and bright solitons [36][37][38][39]; chirped self-similar bright and kink solitons [40]; dark-dark and bright-bright soliton pairs [41]; chirped self-similar gray and kink waves [42], see also [43][44][45][46]. Our present work focuses on deriving chirped optical soliton solutions in fiber BGs.…”

Section: Introductionmentioning

confidence: 99%

Chirped gap solitons in fiber Bragg gratings with polynomial law of nonlinear refractive index

Al-Ghafri¹,

Sankar²,

Krishnan

et al. 2023

J. Eur. Opt. Society-Rapid Publ.

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The objective of the present study is to examine the behaviors of chirped optical solitons in fiber Bragg gratings (BGs) with dispersive reflectivity. The form of nonlinear refractive index represents polynomial law nonlinearity. By virtue of phase-matching condition, the discussed model of coupled nonlinear Schrödinger equation is reduced to an integrable form. Consequently, chirped optical solitons having various profiles such as W-shaped, bright, dark, kink and anti-kink solitons are derived. Further to this, the chirp associated with these soliton structures are extracted. The impact of dispersive reflectivity, self-phase modulation and cross-phase modulation on the pulse propagation is investigated and it is induced that the changes of self-phase modulation and cross-phase modulation cause a marked rise in soliton amplitude which is subject to minor variations by dispersive reflectivity. The physical evolutions of chirped optical solitons are described along with the corresponding chirp to pave the way for possible applications in the field of fiber BGs.

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Section: Introductionmentioning

confidence: 99%

Chirped gap solitons in fiber Bragg gratings with polynomial law of nonlinear refractive index

Al-Ghafri¹,

Sankar²,

Krishnan

et al. 2023

J. Eur. Opt. Society-Rapid Publ.

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“…Analytical Chirped Soliton Solutions. One first supposes that the complex envelope 𝑢(𝜉, 𝜏 ) has the following traveling-wave form: [37,38] 𝑢(𝜉, 𝜏…”

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confidence: 99%

Chirped Bright and Kink Solitons in Nonlinear Optical Fibers with Weak Nonlocality and Cubic-Quantic-Septic Nonlinearity

Zhou¹,

Yu²,

Triki³

et al. 2022

Chinese Phys. Lett.

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109

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This work focuses on chirped solitons in a higher-order nonlinear Schrödinger equation, including cubic-quintic-septic nonlinearity, weak nonlocal nonlinearity, self-frequency shift, and self-steepening effect. For the first time, analytical bright and kink solitons, as well as their corresponding chirping, are obtained. The influence of septic nonlinearity and weak nonlocality on the dynamical behaviors of those nonlinearly chirped solitons is thoroughly addressed. The findings of the study give an experimental basis for nonlinear-managed solitons in optical fibers.

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Optical soliton perturbation in magneto-optic waveguides by extended $$G^{\prime }/G$$–expansion

2021

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Propagation of chirped periodic and localized waves with higher-order effects through optical fibers

Cited by 31 publications

References 34 publications

Chirped gap solitons in fiber Bragg gratings with polynomial law of nonlinear refractive index

Chirped gap solitons in fiber Bragg gratings with polynomial law of nonlinear refractive index

Chirped Bright and Kink Solitons in Nonlinear Optical Fibers with Weak Nonlocality and Cubic-Quantic-Septic Nonlinearity

Optical soliton perturbation in magneto-optic waveguides by extended $$G^{\prime }/G$$–expansion

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