Interaction and energy transition between the breather and rogue wave for a generalized nonlinear Schrödinger system with two higher-order dispersion operators in optical fibers

A generalized nonlinear Schrödinger system is investigated, which can be used to describe the optical pulse propagation in inhomogeneous optical fibers with the fourth- and third-order dispersions operators. The Darboux transformation method is extended to construct a mixed breather and rogue wave s...

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Bibliographic Details
Published in:Nonlinear dynamics 2019-07, Vol.97 (1), p.95-105
Main Author: Ma, Yu-Lan
Format: Article
Language:English
Subjects:
Automotive Engineering
Classical Mechanics
Control
Dynamical Systems
Engineering
Mechanical Engineering
Operators
Optical fibers
Original Paper
Pulse propagation
Vibration
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Summary:A generalized nonlinear Schrödinger system is investigated, which can be used to describe the optical pulse propagation in inhomogeneous optical fibers with the fourth- and third-order dispersions operators. The Darboux transformation method is extended to construct a mixed breather and rogue wave solution for the system. The interaction behaviors between the breather and rogue wave are studied. As a novel result, the energy transition between the breather and rogue wave is observed. Furthermore, the impacts of the different operators on the mixed solution are analyzed.
ISSN:0924-090X
1573-269X
DOI:10.1007/s11071-019-04956-0