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arXiv · 1708.03784

Characteristics of optical multi-peak solitons induced by higher-order effects in an erbium-doped fiber system

Abstract

We study multi-peak solitons \textit{on a plane-wave background} in an erbium-doped fiber system with some higher-order effects, which is governed by a coupled Hirota and Maxwel-Bloch (H-MB) model. The important characteristics of multi-peak solitons induced by the higher-order effects, such as the velocity changes, localization or periodicity attenuation, and state transitions, are revealed in detail. In particular, our results demonstrate explicitly that a multi-peak soliton can be converted to an anti-dark soliton when the periodicity vanishes; on the other hand, a multi-peak soliton is transformed to a periodic wave when the localization vanishes. Numerical simulations are performed to confirm the propagation stability of multi-peak solitons riding on a plane-wave background. Finally, we compare and discuss the similarity and difference of multi-peak solitons in special degenerate cases of the H-MB system with general existence conditions.

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Yang Ren, Zhan-Ying Yang, Chong Liu, Wen-Hao Xu, Wen-Li Yang. 2017-08-12. Characteristics of optical multi-peak solitons induced by higher-order effects in an erbium-doped fiber system. https://doi.org/10.1140/epjd%2Fe2016-70079-7

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