Soliton solutions for Hirota-Maxwell-Bloch system and its nonlocal form

被引:1
|
作者
Guo, Jia-Huan [1 ]
Guo, Rui [1 ]
机构
[1] Taiyuan Univ Technol, Sch Math, Taiyuan 030024, Peoples R China
来源
MODERN PHYSICS LETTERS B | 2022年 / 36卷 / 02期
基金
山西省青年科学基金; 中国国家自然科学基金;
关键词
Hirota-Maxwell-Bloch system; Darboux transformations; solitons; breathers; symmetry preserving; symmetry broken; NON-HERMITIAN HAMILTONIANS; OPTICAL PULSES; WAVE SOLUTIONS; PROPAGATION; SYMMETRY; EQUATION;
D O I
10.1142/S0217984921505412
中图分类号
O59 [应用物理学];
学科分类号
摘要
This paper studies the Hirota-Maxwell-Bloch (H-MB) system and its nonlocal form. Based on the Darboux Transformations (DTs), for H-MB system, we present general double breathers, what is more, we take appropriate modulation frequency and position parameters to investigate the generative mechanism of rogue wave sequences and different periodic breather sequences. For nonlocal Hirota-Maxwell-Bloch (NH-MB) system, we discuss symmetry preserving and broken soliton solutions under zero background. Besides, we present nine combinations of dark and antidark soliton solutions under continuous waves background when PT-symmetry is broken.
引用
收藏
页数:26
相关论文
共 50 条
  • [21] Breathers and localized solitons for the Hirota-Maxwell-Bloch system on constant backgrounds in erbium doped fibers
    Guo, Rui
    Hao, Hui-Qin
    ANNALS OF PHYSICS, 2014, 344 : 10 - 16
  • [22] Degenerate soliton, breather and mixed solutions for a coupled Hirota–Maxwell–Bloch system in an erbium-doped fiber
    Yun-Shan Xiao
    Xi-Yang Xie
    The European Physical Journal Plus, 137
  • [23] Explicit solutions from Darboux transformation for the two-component nonlocal Hirota and Maxwell-Bloch system
    Yan, Shu
    Li, Chuanzhong
    INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2023, 20 (04)
  • [24] N-fold Darboux Transformation for a Generalized Variable-Coefficient Coupled Hirota-Maxwell-Bloch System
    Xue, Yushan
    Chen, Jing
    PROCEEDINGS OF THE 2017 INTERNATIONAL CONFERENCE ON ADVANCED MATERIALS SCIENCE AND CIVIL ENGINEERING (AMSCE 2017), 2017, 70 : 17 - 19
  • [25] Rogue-wave interaction of the generalized variable-coefficient Hirota-Maxwell-Bloch system in fiber optics
    Zuo, Da-Wei
    Gao, Yi-Tian
    Xue, Long
    Feng, Yu-Jie
    CHAOS SOLITONS & FRACTALS, 2014, 69 : 217 - 227
  • [26] Integrability and optical solitons in a generalized variable-coefficient coupled Hirota-Maxwell-Bloch system in fiber optics
    Xue, Yu-Shan
    Tian, Bo
    Ai, Wen-Bao
    Li, Min
    Wang, Pan
    OPTICS AND LASER TECHNOLOGY, 2013, 48 : 153 - 159
  • [27] Soliton solutions for a generalized nonlocal discrete Hirota equation
    Xu, Yinkang
    Zhang, Yi
    WAVE MOTION, 2019, 88 : 13 - 20
  • [28] Darboux transformation and soliton solutions of a nonlocal Hirota equation
    Xia, Yarong
    Yao, Ruoxia
    Xin, Xiangpeng
    CHINESE PHYSICS B, 2022, 31 (02)
  • [29] Darboux transformation and soliton solutions of a nonlocal Hirota equation
    夏亚荣
    姚若侠
    辛祥鹏
    Chinese Physics B, 2022, (02) : 283 - 290
  • [30] The N-soliton solutions to the Hirota and Maxwell-Bloch equation via the Riemann-Hilbert approach
    Li, Jian
    Xia, Tiecheng
    Wei, Hanyu
    INTERNATIONAL JOURNAL OF MODERN PHYSICS B, 2021, 35 (11):