Effect of high-order dispersion on three-soliton interactions for the variable-coefficients Hirota equation

Wenjun Liu, Chunyu Yang, Mengli Liu, Weitian Yu, Yujia Zhang, and Ming Lei
Phys. Rev. E 96, 042201 – Published 2 October 2017

Abstract

The interactions of multiple solitons show different properties with two-soliton interactions. For the difficulty of deriving multiple soliton solutions, it is rare to study multiple soliton interactions analytically. In this paper, three-soliton interactions in inhomogeneous optical fibers, which are described by the variable coefficient Hirota equation, are investigated. Via the Hirota bilinear method and symbolic computation, analytic three-soliton solutions are obtained. According to the obtained solutions, properties and features of three-soliton interactions are discussed by changing the third-order dispersion (TOD) and other relevant coefficients, and some plentiful structure of three-soliton interactions are presented for the first time. The influences of TOD on the intensity and propagation distance of solitons are described, which can be used to realize the soliton control. Besides, the method that can achieve the phase reverse of solitons is suggested, and bound states of three solitons are observed, which have potential applications in the mode-locked fiber lasers. Furthermore, comparing to two-soliton interactions, a novel phenomenon of three-soliton interactions with a strong phase shift at x=0 is revealed, which is potentially useful for optical logic switches.

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  • Received 13 July 2017

DOI:https://doi.org/10.1103/PhysRevE.96.042201

©2017 American Physical Society

Physics Subject Headings (PhySH)

  1. Research Areas
  1. Physical Systems
Interdisciplinary PhysicsNonlinear Dynamics

Authors & Affiliations

Wenjun Liu*, Chunyu Yang, Mengli Liu, Weitian Yu, Yujia Zhang, and Ming Lei

  • State Key Laboratory of Information Photonics and Optical Communications, School of Science, and P. O. Box 91, Beijing University of Posts and Telecommunications, Beijing 100876, China

  • *Also at: Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China; jungliu@bupt.edu.cn

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Issue

Vol. 96, Iss. 4 — October 2017

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