Dark-bright semi-rational solitons and breathers for a higher-order coupled nonlinear Schrodinger system in an optical fiber

被引：53

作者：

Du, Zhong ^{[1
,2
]}

Tian, Bo ^{[1
,2
]}

Chai, Han-Peng ^{[1
,2
]}

Zhao, Xue-Hui ^{[1
,2
]}

机构：

[1] Beijing Univ Posts & Telecommun, State Key Lab Informat Photon & Opt Commun, Beijing 100876, Peoples R China

[2] Beijing Univ Posts & Telecommun, Sch Sci, Beijing 100876, Peoples R China

来源：

APPLIED MATHEMATICS LETTERS | 2020年 / 102卷

基金：

中国国家自然科学基金;

关键词：

Optical fiber; Higher-order coupled nonlinear; Schrodinger system; Dark-bright semi-rational solitons; Breathers; Darboux transformation; ROGUE WAVE SOLUTIONS; CONSERVATION-LAWS; DARBOUX TRANSFORMATIONS; EQUATIONS; INSTABILITY; SOLITARY; PULSES;

D O I：

10.1016/j.aml.2019.106110

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Optical-fiber communication is an indispensable part of the modern communication. In this letter, we study a higher-order coupled nonlinear Schrodinger system, which describes the simultaneous propagation of two electric fields in an optical fiber. We construct the Nth-order dark-bright semi-rational soliton solutions for the mixed interactions, and the Nth-order breather solutions for the focusing interactions, where N is a positive integer. For the mixed interactions, we show the first- and second-order dark-bright semi-rational solitons. For the focusing interactions, we present the first- and second-order Y-shaped breathers, and the line-shaped breather with one component possessing an anti-eye-shaped breather and the other component containing an eye-shaped breather, as well as the second-order breather with each component consisting of two curved breathers. (C) 2019 Elsevier Ltd. All rights reserved.

引用

页数：8

共 42 条

[1]

Ablowitz M.J., 2011, NONLINEAR DISPERSIVE, V47, DOI DOI 10.1017/CBO9780511998324

[2] Breather turbulence versus soliton turbulence: Rogue waves, probability density functions, and spectral features [J].