scholarly journals Dark soliton control in inhomogeneous optical fibers

2016 ◽  
Vol 61 ◽  
pp. 80-87 ◽  
Author(s):  
Wenjun Liu ◽  
Longgang Huang ◽  
Ping Huang ◽  
Yanqing Li ◽  
Ming Lei
Keyword(s):  
Optical Fibers ◽  
Dark Soliton ◽  
Soliton Control

Experimental Observation of the Fundamental Dark Soliton in Optical Fibers

1988 ◽  
Vol 61 (21) ◽  
pp. 2445-2448 ◽  
Author(s):  
A. M. Weiner ◽  
J. P. Heritage ◽  
R. J. Hawkins ◽  
R. N. Thurston ◽  
E. M. Kirschner ◽  
...  
Keyword(s):  
Experimental Observation ◽  
Optical Fibers ◽  
Dark Soliton

Reductions and Solutions of Two Types of Coupled Nonlinear Evolution Equations in Optical Fibers and Fluid Dynamics

2011 ◽  
Vol 66 (8-9) ◽  
pp. 552-558
Author(s):  
Li-Cai Liu ◽  
Bo Tian ◽  
Bo Qin ◽  
Xing Lü ◽  
Zhi-Qiang Lin ◽  
...  
Keyword(s):  
Fluid Dynamics ◽  
Raman Scattering ◽  
Optical Fibers ◽  
Evolution Equations ◽  
Nonlinear Evolution ◽  
Dark Soliton ◽  
Nonlinear Evolution Equations ◽  
The One ◽  
Gain Loss ◽  
Burgers Type Equations

Abstract Under investigation in this paper are the coupled nonlinear Schrödinger equations (CNLSEs) and coupled Burgers-type equations (CBEs), which are, respectively, a model for certain birefringent optical fibers Raman-scattering, Kerr and gain/loss effects, and a generalized model in fluid dynamics. Special attention should be paid to the existing claim that the solitons for the CNLSEs do not exist. Through certain dependent-variable transformations, the CNLSEs are reduced to a Manakov system and the CBEs are linearized. In that way, some new solutions of the CNLSEs and CBEs are obtained via symbolic computation. Especially the one-dark-soliton-like solutions for the CNLSEs have been found, against the existing claim.

Dynamics of optical solitons incorporating Kerr dispersion and self-frequency shift

2019 ◽  
Vol 33 (19) ◽  
pp. 1950220
Author(s):  
Asma Rashid Butt ◽  
Muhammad Abdullah ◽  
Nauman Raza
Keyword(s):  
Frequency Shift ◽  
Optical Fibers ◽  
Laser Light ◽  
Soliton Solutions ◽  
Dark Soliton ◽  
Optical Solitons ◽  
Light Pulses ◽  
Ode Method ◽  
Analytical Approaches ◽  
Extended Trial

This paper deals with the dynamics of optical solitons in nonlinear Schrödinger equation (NLSE) with cubic-quintic law nonlinearity in the presence of self-frequency shift and self-steepening. This type of equation describes the ultralarge capacity transmission and traveling of laser light pulses in optical fibers. Two robust analytical approaches are employed to determine contemporary solutions. Some new explicit rational, periodic and combo periodic soliton solutions are extracted using the extended trial equation method. The Riccati–Bernoulli sub-ODE method provided us with singular and dark soliton solutions. The constraints found are necessary for the existence of solitons.

DARK SOLITONS IN OPTICAL FIBERS WITH HIGHER ORDER EFFECTS

2002 ◽  
Vol 11 (02) ◽  
pp. 197-204 ◽  
Author(s):  
K. NAKKEERAN
Keyword(s):  
Optical Fibers ◽  
Dark Soliton ◽  
Higher Order ◽  
Order Effects ◽  
Nonlinear Wave Propagation ◽  
Bilinear Method ◽  
Fiber System ◽  
Normal Dispersion ◽  
Dispersion Regime ◽  
Higher Order Effects

We consider the higher order nonlinear Schrödinger (HNLS) equation, which governs the nonlinear wave propagation in optical fibers with higher order effects. Lax pair associated with the integrable HNLS equation for the pulse propagation in normal dispersion regime of the fiber media is constructed with the help of Ablowitz–Kaup–Newell–Segur method. Using Hirota bilinear method, dark soliton solution is explicitly derived. Similar study is also carried out for simultaneous propagation of N nonlinear pulses in the normal dispersion regime of the fiber system with higher order effects.

Breathers and double-pole solutions of coupled mixed derivative nonlinear Schrödinger equations from optical fibers

2021 ◽  
pp. 2150373
Author(s):  
Chen Hang ◽  
Qing-Lin Wu ◽  
Hai-Qiang Zhang
Keyword(s):  
Optical Fibers ◽  
Dark Soliton ◽  
Nonlinear Schrödinger Equations ◽  
Mixed Derivative ◽  
Schrodinger Equations ◽  
Schrödinger Equations ◽  
Double Pole ◽  
Nonlinear Schrödinger ◽  
Nonlinear Schrodinger Equations ◽  
Wave Numbers

In this paper, the coupled mixed derivative nonlinear Schrödinger equations are investigated, which govern the propagation of the femtosecond optical pulse in optical fibers. First of all, based on the soliton solutions in bilinear form, the breathers are constructed by choosing a pair of complex conjugate wave numbers. Then, the interactions between a breather and either an anti-dark soliton or a dark soliton are studied according to the existence conditions of dark and anti-dark solitons. The double-pole solution can also be obtained by a coalescence of two wave numbers. In addition, the influence of physical parameters on the phases and propagation direction of the breathers and double-pole solitons is studied by the qualitative analysis and graphical illustration.

Dark-soliton generation in optical fibers

1989 ◽  
Vol 14 (22) ◽  
pp. 1281 ◽  
Author(s):  
Sergei A. Gredeskul ◽  
Yuri S. Kivshar
Keyword(s):  
Optical Fibers ◽  
Dark Soliton ◽  
Soliton Generation

N-dark–dark solitons for the coupled higher-order nonlinear Schrödinger equations in optical fibers

2017 ◽  
Vol 31 (33) ◽  
pp. 1750305 ◽  
Author(s):  
Hai-Qiang Zhang ◽  
Yue Wang
Keyword(s):  
Optical Fibers ◽  
Soliton Solutions ◽  
Dark Soliton ◽  
Higher Order ◽  
Nonlinear Schrödinger Equations ◽  
Schrodinger Equations ◽  
Schrödinger Equations ◽  
Nonlinear Schrödinger ◽  
Dark Solitons ◽  
Nonlinear Schrodinger Equations

In this paper, we construct the binary Darboux transformation on the coupled higher-order dispersive nonlinear Schrödinger equations in optical fibers. We present the N-fold iterative transformation in terms of the determinants. By the limit technique, we derive the N-dark–dark soliton solutions from the non-vanishing background. Based on the obtained solutions, we find that the collision mechanisms of dark vector solitons exhibit the standard elastic collisions in both two components.

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