期刊
CHAOS SOLITONS & FRACTALS
卷 156, 期 -, 页码 -出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.chaos.2021.111719
关键词
Optical fiber; M-coupled variable-coefficient nonlinear; Schrodinger system; Darboux transformation; Conservation laws; Breathers; Solitons
资金
- National Natural Science Foundation of China [11772017, 11272023, 11471050]
- Fund of State Key Laboratory of Information Photonics and Optical Communications (Beijing University of Posts and Telecommunications), China [IPOC: 2017ZZ05]
- Fundamental Research Funds for the Central Universities of China [2011BUPTYB02]
This study investigates an M-coupled variable-coefficient nonlinear Schrödinger system in an optical fiber communication system, and obtains localized wave solutions and explores the interactions between gray solitons and breathers under different conditions.
Optical fiber communication system is one of the supporting systems in the modern internet age. We investigate an M-coupled variable-coefficient nonlinear Schrodinger system, which describes the simultaneous pulse propagation of the M-field components in an inhomogeneous optical fiber, where M is a positive integer. With respect to the complex amplitude of the jth-field (j = 1, ..., M) component in the optical fiber, we construct an n-fold Darboux transformation, where n is a positive integer. Based on the n-fold Darboux transformation, we obtain some one- and two-fold localized wave solutions for the above system with the mixed defocusing-focusing-type nonlinearity and M = 2. We acquire the infinitely-many conservation laws. Via such solutions, we obtain some vector gray solitons, interactions between the two vector parabolic/cubic gray solitons, and interactions between the vector parabolic/cubic breathers and gray solitons with different beta(z), gamma(z) and delta(z), the coefficients of the group velocity dispersion, nonlinearity and amplification/absorption. It can be found that delta(z) affects the backgrounds of the breathers and gray solitons. (C) 2021 Elsevier Ltd. All rights reserved.
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