https://doi.org/10.1140/epjd/e2016-70079-7
Regular Article
Characteristics of optical multi-peak solitons induced by higher-order effects in an erbium-doped fiber system
1 School of Physics, Northwest
University, Xi’an
710069, P.R.
China
2 Shaanxi Key Laboratory for
Theoretical Physics Frontiers, Xi’an
710069, P.R.
China
3 Institute of Modern Physics,
Northwest University, Xi’an
710069, P.R.
China
a
e-mail: zyyang@nwu.edu.cn
b
e-mail: nwudavid@163.com
Received:
6
February
2016
Received in final form:
1
June
2016
Published online:
13
September
2016
We study multi-peak solitons 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.
Key words: Nonlinear Dynamics
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag 2016
