Combined effects of frequency and higher-order effects on soliton conversion in an erbium fiber with inhomogeneous broadening

In this paper, soliton propagation in an erbium-doped fiber with inhomogeneous broadening is considered which can be described by the inhomogeneous Hirota– Maxwell–Bloch equations. The Darboux transformation method is employed to generate the soliton solution through a linear eigenvalue problem. In...

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Bibliographic Details
Published in:Nonlinear dynamics 2018, Vol.91 (1), p.687-696
Main Authors: Vithya, Angelin, Mani Rajan, M. S., Arun Prakash, S.
Format: Article
Language:English
Subjects:
Automotive Engineering
Classical Mechanics
Control
Conversion
Doped fibers
Dynamical Systems
Eigenvalues
Engineering
Erbium
Mechanical Engineering
Original Paper
Solitary waves
Vibration
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Summary:In this paper, soliton propagation in an erbium-doped fiber with inhomogeneous broadening is considered which can be described by the inhomogeneous Hirota– Maxwell–Bloch equations. The Darboux transformation method is employed to generate the soliton solution through a linear eigenvalue problem. In particular, our results demonstrate explicitly that a soliton can be converted into various nonlinear waves such as periodic wave, anti-kink soliton and flat-top soliton in the presence of higher-order effects with inhomogeneous broadening. Additionally, we found that higher-order coefficients have strong influence on the soliton transition while frequency is only responsible for phase shift. The results might be of certain value for the study of the soliton management and soliton conversion.
ISSN:0924-090X
1573-269X
DOI:10.1007/s11071-017-3903-5