Different types of nonlinear localized and periodic waves in an erbium-doped fiber system

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.

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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