Dynamics of breathers and rogue waves for a generalized discrete Hirota equation

被引：1
|
作者：
Yang, Sheng-Xiong [1 ]
Wang, Yu-Feng [1 ]
Zhang, Xi [1 ]
机构：
[1] Minzu Univ China, Coll Sci, Beijing 100081, Peoples R China
来源：
EUROPEAN PHYSICAL JOURNAL PLUS | 2023年 / 138卷 / 09期
基金：
中国国家自然科学基金;
关键词：
MODULATION INSTABILITY; SOLITON-SOLUTIONS;
D O I：
10.1140/epjp/s13360-023-04416-0
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Under investigation in this paper is a generalized discrete Hirota equation. Based on Lax pair, the Nth-fold Darboux transformation is constructed. The one- and two-breather solutions are obtained and analyzed. The first- and second-order rogue wave solutions are derived and investigated. The influences of parameters for solutions are discussed. In particular, the different structures of second-order rogue wave are observed. Moreover, the interaction solutions between rogue wave and one breather are constructed and studied.
引用
收藏
页数：13
相关论文
共 50 条
  • [11] N-solitons, breathers and rogue waves for a generalized Boussinesq equation
    Ma, Yu-Lan
    INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2020, 97 (08) : 1648 - 1661
  • [12] The Kundu-nonlinear Schrodinger Equation: Breathers, Rogue Waves and Their Dynamics
    Wang, Xiu-Bin
    Han, Bo
    JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 2020, 89 (01)
  • [13] Darboux transformations, solitons, breathers and rogue waves for the modified Hirota equation with variable coefficients in an inhomogeneous fiber
    Zhong Du
    Bo Tian
    Han-Peng Chai
    Yan Sun
    Optical and Quantum Electronics, 2018, 50
  • [14] Characteristics of the nonautonomous breathers and rogue waves in a generalized Lenells-Fokas equation
    Wang, Lei
    Geng, Chao
    Zhang, Lu-Lu
    Zhao, Yin-Chuan
    EPL, 2014, 108 (05)
  • [15] Darboux transformations, solitons, breathers and rogue waves for the modified Hirota equation with variable coefficients in an inhomogeneous fiber
    Du, Zhong
    Tian, Bo
    Chai, Han-Peng
    Sun, Yan
    OPTICAL AND QUANTUM ELECTRONICS, 2018, 50 (02)
  • [16] Rogue waves and rational solutions of the Hirota equation
    Ankiewicz, Adrian
    Soto-Crespo, J. M.
    Akhmediev, Nail
    PHYSICAL REVIEW E, 2010, 81 (04):
  • [17] Dynamics of the breathers and rogue waves in the higher-order nonlinear Schrodinger equation
    Wang, Xiu-Bin
    Zhang, Tian-Tian
    Dong, Min-Jie
    APPLIED MATHEMATICS LETTERS, 2018, 86 : 298 - 304
  • [18] Breathers, rogue waves and semi-rational solutions for a generalized Heisenberg ferromagnet equation
    Deng, Bo-Jie
    Hao, Hui-Qin
    APPLIED MATHEMATICS LETTERS, 2023, 140
  • [19] Dynamics of the breathers, rogue waves and solitary waves in the (2+1)-dimensional Ito equation
    Wang, Xiu-Bin
    Tian, Shou-Fu
    Qin, Chun-Yan
    Zhang, Tian-Tian
    APPLIED MATHEMATICS LETTERS, 2017, 68 : 40 - 47
  • [20] Characteristics of rogue waves on a periodic background for the Hirota equation
    Peng, Wei-Qi
    Tian, Shou-Fu
    Wang, Xiu-Bin
    Zhang, Tian-Tian
    WAVE MOTION, 2020, 93
12345