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arXiv · 1601.03140

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

Yang Ren·Zhan-Ying Yang·Chong Liu·Wen-Li Yang
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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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Yang Ren, Zhan-Ying Yang, Chong Liu, Wen-Li Yang. 2016-01-13. Different types of nonlinear localized and periodic waves in an erbium-doped fiber system. https://doi.org/10.1016/j.physleta.2015.08.037

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