Abstract
We study the dynamics of short optical pulses in a real system with periodically distributed dispersion and the nonlinearity is governed by the higher order nonlinear Schrödinger equation (HNLSE) with linear and nonlinear gain (loss). Under specific parametric circumstances, where the dark and bright solitary waves are combined, a set of entirely new types of solitary waves with nonlinear chirp have emerged. For a properly intense optical pulse in the combined solitary waves, the binding of the bright and dark solitary waves is very strong. It is seen that by numerical simulation, these pooled types of solitary-like solutions show a high degree of stability while propagating over an extremely long distance in the considering system, even in the presence of a high degree of perturbation of the amplitude and white noise. All constraint relations on the physical parameters are explicitly shown to be related to the development and to the dynamical study of the chirped solitary like solution in the considering medium.
Similar content being viewed by others
References
MERABI A, TRIKI H, AZZOUZI F, et al. Propagation properties of chirped optical similaritons with dualpower law nonlinearity[J]. Chaos, solitons & fractals, 2020, 140: 110158.
TRIKI H, ZHOU Q, BISWAS A, et al. Self-frequency shift effect for chirped self-similar solitons in a tapered graded-indexed waveguide[J]. Optics communications, 2020, 468: 125800.
HOSSEIN K, SADRI K, MIRZAZADEH M, et al. A high-order nonlinear Schrodinger equation with the weak non-local nonlinearity and its optical solitons[J]. Results in physics, 2021, 23: 104035.
PATHANIA S, GOYAL A, RAJU T S, et al. Chirped nonlinear resonant states in femtosecond fiber optics[J]. Optik, 2021, 227: 166094.
WU G Z, DIA C Q, WANG Y Y, et al. Propagation and interaction between special fractional soliton molecule in the inhomogeneous medium[J]. Journal of advance research, 2022, 36: 63–71.
TRIKI H, BENLALLI A, ZHOU Q, et al. Formation of chirped kink similariton in non-Kerr media with varying Raman effect[J]. Results in physics, 2021, 26: 104381.
KENGNE E, LAKHSSASSI A. Compensation process and generation of chirped femtosecond solitons and double-kink solitons in Bose-Einstein condensates with time-dependent atomic scattering length in a time-varying complex potential[J]. Nonlinear dynamics, 2021, 104: 4221–4240.
WANG B H, WANG Y. YF ractional white noise functional soliton solutions of a wick-type stochastic fractional NLSE[J]. Applied mathematics letters, 2020, 110: 106583.
RAZA N, HASSAN Z, SEADAWY A. Computational soliton solutions for the variable coefficient nonlinear Schrödinger equation by collective variable method[J]. Optical and quantum electronics, 2021, 53: 400.
ZHENG H, WU C, WANG Z, et al. Propagation characteristics of chirped soliton in periodic distributed amplification systems with variable coefficients[J]. Optik, 2012, 123: 818–822.
HOUWE A, ABBAGARI S, INC M, et al. Chirped solitons in discrete electrical transmission line[J]. Results in physics, 2020, 18: 103188.
TRIKI H, ZHOU K, BISWAS A, et al. Chirped optical solitons having polynomial law of nonlinear refractive index with self-steepening effect and nonlinear dispersion[J]. Physics letters A, 2021, 412: 127698.
TRIKI H, ZHOU Q, MOSHOKOA S P, et al. Chirped W-shaped optical solitons of Chen-Lee-Liu equation[J]. Optik, 2018, 155: 208–212.
DAOUI A K, AZZOUZI F, TRIKI H, et al. Propagation of chirped gray optical dips in nonlinear materials[J]. Optics communications, 2019, 430: 461–466.
HOUWE A, ABBAGARI S, ALMOHSEN B, et al. Chirped solitary waves of the perturbed Chen-Lee-Liu equation and modulation instability in optical mono mode fibres[J]. Optical and quantum electronics, 2021, 53: 286.
SEADAWY A R, RIZVI S T R, MUSTAFA B, et al. Chirped periodic waves for an cubic-quintic nonlinear Schrödinger equation with self steepening and higher order nonlinearities[J]. Chaos, solitons & fractals, 2022, 156: 111804.
TRIKI H, BISWAS A, MILOVIC D, et al. Chirped femtosecond pulses in the higher-order nonlinear Schrödinger equation with non-Kerr nonlinear terms and cubic-quintic-septic nonlinearities[J]. Optics communications, 2016, 366: 362–369.
TRIKI H, PORSEZIAN K, GRELU P. Chirped soliton solutions for the generalized nonlinear Schrödinger equation with polynomial nonlinearity and non-Kerr terms of arbitrary order[J]. Journal of optics, 2016, 18: 075504.
SEADAWY A R, AHMED H M, RABIE W B, et al. Chirp-free optical solitons in fiber Bragg gratings with dispersive reflectivity having polynomial law of nonlinearity[J]. Optik, 2021, 225: 165681.
Author information
Authors and Affiliations
Corresponding author
Additional information
Statements and Declarations
The authors declare that there are no conflicts of interest related to this article.
Rights and permissions
About this article
Cite this article
Rajowar, C., Mandal, S. & Sinha, A. Some study on dark and bright optical solitons in a real system with periodically distributed dispersion and nonlinearity. Optoelectron. Lett. 18, 635–640 (2022). https://doi.org/10.1007/s11801-022-2075-9
Received:
Revised:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11801-022-2075-9