Breather-to-soliton and rogue wave-to-soliton transitions in a resonant erbium-doped fiber system with higher-order effects

Under investigation in this paper is the higher-order nonlinear Schrödinger and Maxwell–Bloch system which describes the wave propagation in an erbium-doped nonlinear fiber with higher-order effects including the fourth-order dispersion and quintic non-Kerr nonlinearity. The breather and rogue wave...

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Bibliographic Details
Published in:Nonlinear dynamics 2016-07, Vol.85 (1), p.389-398
Main Authors: Wang, Lei, Li, Shen, Qi, Feng-Hua
Format: Article
Language:English
Subjects:
Automotive Engineering
Breathers
Classical Mechanics
Control
Doped fibers
Dynamical Systems
Eigenvalues
Engineering
Erbium
Mechanical Engineering
Nonlinearity
Original Paper
Solitary waves
Vibration
Wave propagation
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Summary:Under investigation in this paper is the higher-order nonlinear Schrödinger and Maxwell–Bloch system which describes the wave propagation in an erbium-doped nonlinear fiber with higher-order effects including the fourth-order dispersion and quintic non-Kerr nonlinearity. The breather and rogue wave (RW) solutions are shown that they can be converted into various soliton solutions including the multi-peak soliton, periodic wave, antidark soliton, M-shaped soliton, and W-shaped soliton. In addition, under different values of higher-order effect, the locus of the eigenvalues on the complex plane which converts breathers or RWs into solitons is calculated.
ISSN:0924-090X
1573-269X
DOI:10.1007/s11071-016-2693-5