Specific optical solitons solutions to the coupled Radhakrishnan–Kundu–Lakshmanan model and modulation instability gain spectra in birefringent fibers

2021 ◽  
Vol 54 (1) ◽  
Author(s):  
Souleymanou Abbagari ◽  
Alphonse Houwe ◽  
Serge Y. Doka ◽  
Mustafa Inc ◽  
Thomas B. Bouetou
Keyword(s):  
Modulation Instability ◽  
Optical Solitons ◽  
Gain Spectra

Optical solitons and modulation instability of the resonant nonlinear Schrӧdinger equations in (3 + 1)-dimensions

Optik ◽  
2020 ◽  
Vol 209 ◽  
pp. 164584 ◽  
Author(s):  
K. Hosseini ◽  
R. Ansari ◽  
A. Zabihi ◽  
A. Shafaroody ◽  
M. Mirzazadeh
Keyword(s):  
Modulation Instability ◽  
Optical Solitons

Dispersive optical solitons for the Schrödinger–Hirota equation in optical fibers

2020 ◽  
pp. 2150060
Author(s):  
Wen-Tao Huang ◽  
Cheng-Cheng Zhou ◽  
Xing Lü ◽  
Jian-Ping Wang
Keyword(s):  
Asymptotic Behavior ◽  
Optical Fibers ◽  
Modulation Instability ◽  
Soliton Solutions ◽  
Optical Solitons ◽  
Hirota Bilinear Method ◽  
Bilinear Method ◽  
Hirota Equation ◽  
The One ◽  
Hirota Bilinear

Under investigation in this paper is the dynamics of dispersive optical solitons modeled via the Schrödinger–Hirota equation. The modulation instability of solutions is firstly studied in the presence of a small perturbation. With symbolic computation, the one-, two-, and three-soliton solutions are obtained through the Hirota bilinear method. The propagation and interaction of the solitons are simulated, and it is found the collision is elastic and the solitons enjoy the particle-like interaction properties. In the end, the asymptotic behavior is analyzed for the three-soliton solutions.

Modulation instability analysis and perturbed optical soliton and other solutions to the Gerdjikov-Ivanov equation in nonlinear optics

2020 ◽  
Vol 34 (35) ◽  
pp. 2050404
Author(s):  
Haci Mehmet Baskonus ◽  
Muhammad Younis ◽  
Muhammad Bilal ◽  
Usman Younas ◽  
Shafqat-ur-Rehman ◽  
...  
Keyword(s):  
Nonlinear Optics ◽  
Modulation Instability ◽  
Velocity Dispersion ◽  
Group Velocity Dispersion ◽  
Optical Solitons ◽  
Physical Parameters ◽  
Quintic Nonlinearity ◽  
The Stability ◽  
Triangular Type ◽  
Existence Criteria

In this work, we investigate the perturbed optical solitons to the Gerdjikov-Ivanov equation consisting of group velocity dispersion and quintic nonlinearity coefficients, which communicate the propagation of pulses in nonlinear optics. The various kinds of solitons in single and combined forms like dark, singular, dark-singular, bright-dark are derived by Fan-extended sub equation method. Moreover, the singular periodic, triangular type solutions are also obtained. And, we also discuss the stability analysis of the studied nonlinear model with the concept of linear stability, we prove that the governing model is stable. Parametric conditions on physical parameters to ensure the existence criteria of optical solitons are also listed. We also plot 3D profiles for the physical behavior of the obtained solutions by selecting the suitable values of the parameters.

scholarly journals Modulation Instability, Breathers, and Bound Solitons in an Erbium-Doped Fiber System with Higher-Order Effects

2014 ◽  
Vol 2014 ◽  
pp. 1-13 ◽  
Author(s):  
Rui Guo ◽  
Hui-Qin Hao ◽  
Xiao-Song Gu
Keyword(s):  
Darboux Transformation ◽  
Modulation Instability ◽  
Lax Pair ◽  
Optical Solitons ◽  
Higher Order ◽  
Order Effects ◽  
Fiber System ◽  
Erbium Doped ◽  
Propagation Properties ◽  
Higher Order Effects

We mainly investigate the generalized nonlinear Schrödinger-Maxwell-Bloch system which governs the propagation of optical solitons in nonlinear erbium-doped fibers with higher-order effects. We deduce Lax pair, analyze modulation instability conditions, construct the Darboux transformation, and derive the Akhmediev breathers, Ma-breathers, bound solitons, and two-breather solutions for this system. Considering the influences of higher-order effects, propagation properties of those solitons are discussed.

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