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
  • [31] Multi-soliton solutions and Breathers for the generalized coupled nonlinear Hirota equations via the Hirota method
    Jia, Ting-Ting
    Chai, Yu-Zhen
    Hao, Hui-Qin
    SUPERLATTICES AND MICROSTRUCTURES, 2017, 105 : 172 - 182
  • [32] Intricate dynamics of rogue waves governed by the Sasa-Satsuma equation
    Mu, Gui
    Qin, Zhenyun
    Grimshaw, Roger
    Akhmediev, Nail
    PHYSICA D-NONLINEAR PHENOMENA, 2020, 402
  • [33] Self-similar rogue waves in an inhomogeneous generalized nonlinear Schrodinger equation
    Loomba, Shally
    Gupta, Rama
    Kaur, Harleen
    Rajan, M. S. Mani
    PHYSICS LETTERS A, 2014, 378 (30-31) : 2137 - 2141
  • [34] Lumps, breathers, rogue waves and interaction solutions to a (3+1)-dimensional Kudryashov-Sinelshchikov equation
    Tang, Xianglong
    Chen, Yong
    MODERN PHYSICS LETTERS B, 2020, 34 (12):
  • [35] Study of mixed derivative nonlinear Schrodinger equation for rogue and lump waves, breathers and their interaction solutions with Kerr law
    Rizvi, Syed T. R.
    Seadawy, Aly R.
    Naqvi, Syed K.
    Abbas, Syed Oan
    OPTICAL AND QUANTUM ELECTRONICS, 2023, 55 (02)
  • [36] Novel localized wave interaction phenomena and dynamics in the generalized discrete Hirota equation via the generalized (2, N-2)-fold Darboux transformation
    Wang, Hao-Tian
    Wen, Xiao-Yong
    Liu, Yaqing
    MODERN PHYSICS LETTERS B, 2019, 33 (17):
  • [37] Study of breathers, rogue waves and lump solutions for the nonlinear chains of atoms
    Ahmed, Sarfaraz
    Seadawy, Aly R.
    Rizvi, Syed T. R.
    OPTICAL AND QUANTUM ELECTRONICS, 2022, 54 (05)
  • [38] Breathers and rogue waves for an eighth-order variable-coefficient nonlinear Schrodinger equation in an ocean or optical fiber
    Jia, Shu-Liang
    Gao, Yi-Tian
    Zhao, Chen
    Yang, Jin-Wei
    Feng, Yu-Jie
    WAVES IN RANDOM AND COMPLEX MEDIA, 2017, 27 (03) : 544 - 561
  • [39] Controllable excitations of rogue waves and breathers in an inhomogeneous erbium doped fiber system
    Pal, Ritu
    Loomba, Shally
    Kumar, C. N.
    OPTICS COMMUNICATIONS, 2020, 474
  • [40] Breathers and rogue waves in a Heisenberg ferromagnetic spin chain or an alpha helical protein
    Yang, Jin-Wei
    Gao, Yi-Tian
    Su, Chuan-Qi
    Wang, Qi-Min
    Lan, Zhong-Zhou
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2017, 48 : 340 - 349