Different types of nonlinear localized and periodic waves in an erbium-doped fiber system
arXiv:1601.03140 · doi:10.1016/j.physleta.2015.08.037
Abstract
We study nonlinear waves on a plane-wave background in an erbium-doped fiber system, which is governed by the coupled nonlinear Schrödinger and the Maxwell-Bloch equations. We find that prolific different types of nonlinear localized and periodic waves do exist in the system, including multi-peak soliton, periodic wave, antidark soliton, and W-shaped soliton (as well as the known bright soliton, breather, and rogue wave). In particular, the dynamics of these waves can be extracted from a unified exact solution, and the corresponding existence conditions are presented explicitly. Our results demonstrate the structural diversity of the nonlinear waves in this system.
References in corpus (12)
- Deterministic Vector Freak Waves
- Vector Rogue Waves and Baseband Modulation Instability in the Defocusing Regime
- High-order Rogue Waves in Vector Nonlinear Schrödinger Equations
- Rogue-wave solutions of a three-component coupled nonlinear Schrodinger equation
- Rational solitons of wave resonant interaction models
- Rogue waves of the Hirota and the Maxwell-Bloch equations
- Localized nonlinear waves in a two-mode nonlinear fiber
- State Transition Induced by Higher-order Effects and Background Frequency
- Rational W-shaped Optical Soliton on Continuous Wave in Presence of Kerr Dispersion and Stimulated Raman Scattering
- Theoretical and experimental evidence of non-symmetric doubly localized rogue waves
- Travelling solitons in the parametrically driven nonlinear Schroedinger equation
- Complexes of stationary domain walls in the resonantly forced Ginsburg-Landau equation
Cited by in corpus (5)
- Breather transition dynamics, Peregrine combs/walls and modulation instability in a variable-coefficient nonlinear Schrödinger equation with higher-order effects
- Growth rate of modulation instability driven by superregular breathers
- Optical rogue waves and W-shaped solitons in the multiple self-induced transparency system
- Characteristics of optical multi-peak solitons induced by higher-order effects in an erbium-doped fiber system
- The three-level coupled Maxwell-Bloch equations: rogue waves, semirational rogue waves and W-shaped solitons