Vector breather-to-soliton transitions and nonlinear wave interactions induced by higher-order effects in an erbium-doped fiber

被引:8
|
作者
Sun, Wen-Rong [1 ,2 ]
Wang, Lei [3 ]
Xie, Xi-Yang [4 ,5 ]
机构
[1] Univ Sci & Technol Beijing, Sch Math & Phys, Beijing 100083, Peoples R China
[2] Univ Sci & Technol Beijing, Beijing Key Lab Magnetophotoelect Composite & Int, Beijing 100083, Peoples R China
[3] North China Elect Power Univ, Dept Math & Phys, Beijing 102206, Peoples R China
[4] Beijing Univ Posts & Telecommun, State Key Lab Informat Photon & Opt Commun, Beijing 100876, Peoples R China
[5] Beijing Univ Posts & Telecommun, Sch Sci, Beijing 100876, Peoples R China
基金
中国国家自然科学基金;
关键词
Vector breather-to-soliton transitions; Higher-order NLS-MB system with sextic terms; Darboux transformation; Breather-soliton interactions; SCHRODINGER-EQUATION; OPTICAL SOLITONS; ROGUE WAVES; LIGHT; PROPAGATION; MEDIA;
D O I
10.1016/j.physa.2018.01.038
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Vector breather-to-soliton transitions for the higher-order nonlinear Schrodinger-Maxwell-Bloch (NLS-MB) system with sextic terms are investigated. The Lax pair and Darboux transformation (DT) of such system are constructed. With the DT, analytic vector breather solutions up to the second order are obtained. With appropriate choices of the spectra parameters, vector breather-to-soliton transitions happen. Interaction mechanisms of vector nonlinear waves (breather-soliton or soliton-soliton interactions) are displayed. (C) 2018 Elsevier B.V. All rights reserved.
引用
收藏
页码:58 / 66
页数:9
相关论文
共 50 条
  • [41] Higher-order semirational solutions and nonlinear wave interactions for a derivative nonlinear Schrodinger equation
    Wang, Lei
    Zhu, Yu-Jie
    Wang, Zi-Zhe
    Qi, Feng-Hua
    Guo, Rui
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2016, 33 : 218 - 228
  • [42] Higher-order soliton, breather, the mixed localized wave solutions for the coupled modified Korteweg-de Vries equations
    Chen, Yi-Xin
    Wang, Yu-Feng
    Zhang, Xi
    Zhao, Yi-Di
    NONLINEAR DYNAMICS, 2025, : 15363 - 15375
  • [43] Soliton interaction for a variable-coefficient higher-order nonlinear Schrodinger equation in a dispersion-decreasing fiber
    Huang, Zhi-Ruo
    Wang, Yun-Po
    Jia, Hui-Xian
    Liu, Ying-Fang
    OPTICS AND LASER TECHNOLOGY, 2018, 103 : 151 - 154
  • [44] Propagation properties of soliton solutions under the influence of higher order effects in erbium doped fibers
    Guo, Rui
    Hao, Hui-Qin
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2014, 19 (10) : 3529 - 3538
  • [45] Rogue wave solutions for a higher-order nonlinear Schrodinger equation in an optical fiber
    Lan, Zhong-Zhou
    APPLIED MATHEMATICS LETTERS, 2020, 107
  • [46] Breather interactions and higher-order nonautonomous rogue waves for the inhomogeneous nonlinear Schrodinger Maxwell-Bloch equations
    Wang, Lei
    Li, Xiao
    Qi, Feng-Hua
    Zhang, Lu-Lu
    ANNALS OF PHYSICS, 2015, 359 : 97 - 114
  • [47] Periodic attenuating oscillation between soliton interactions for higher-order variable coefficient nonlinear Schrodinger equation
    Liu, Xiaoyan
    Liu, Wenjun
    Triki, Houria
    Zhou, Qin
    Biswas, Anjan
    NONLINEAR DYNAMICS, 2019, 96 (02) : 801 - 809
  • [48] Soliton-controlling dynamics with novel constraint conditions in inhomogeneous higher-order nonlinear Schrödinger equation fiber system
    Huo, Kui
    JOURNAL OF OPTICS-INDIA, 2023, 53 (3): : 2661 - 2667
  • [49] Higher-Order Nonlinear Effects on Wave Structures in a Multispecies Plasma with Nonisothermal Electrons
    Gill, Tarsem Singh
    Bala, Parveen
    Kaur, Harvinder
    ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES, 2010, 65 (04): : 315 - 328
  • [50] Asymptotic analysis on bright solitons and breather solutions of a generalized higher-order nonlinear Schrodinger equation in an optical fiber or a planar waveguide
    Zhao, Xin
    Du, Zhong
    Zhou, Li-Jian
    Liu, Rong-Xiang
    Wang, Xu-Hu
    CHINESE PHYSICS B, 2024, 33 (11)