DYNAMICS OF ROGUE WAVES ON A MULTISOLITON BACKGROUND IN A VECTOR NONLINEAR SCHRODINGER EQUATION

被引:94
|
作者
Mu, Gui [1 ]
Qin, Zhenyun [2 ,3 ]
Grimshaw, Roger [4 ]
机构
[1] Qujing Normal Univ, Coll Math & Informat Sci, Qujing 655011, Yunnan, Peoples R China
[2] Fudan Univ, Sch Math Sci, Key Lab Math Nonlinear Sci, Shanghai 200433, Peoples R China
[3] Fudan Univ, Shanghai Ctr Math Sci, Shanghai 200433, Peoples R China
[4] Univ Loughborough, Dept Math Sci, Loughborough LE11 3TU, Leics, England
基金
上海市自然科学基金;
关键词
vector nonlinear Schrodinger equations; rogue waves; Darboux-dressing transformation; SOLITON;
D O I
10.1137/140963686
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
General higher-order rogue waves of a vector nonlinear Schrodinger equation (Manakov system) are derived using a Darboux-dressing transformation with an asymptotic expansion method. The Nth-order semirational solutions containing 3N free parameters are expressed in separation-of-variables form. These solutions exhibit rogue waves on a multisoliton background. They demonstrate that the structure of rogue waves in this two-component system is richer than that in a one-component system. Our results would be of much importance in understanding and predicting rogue wave phenomena arising in nonlinear and complex systems, including optics, fluid dynamics, Bose-Einstein condensates, and finance.
引用
收藏
页码:1 / 20
页数:20
相关论文
共 50 条
  • [1] Dynamics of rogue waves on multisoliton background in the Benjamin Ono equation
    YUN-KAI LIU
    BIAO LI
    [J]. Pramana, 2017, 88
  • [2] Dynamics of rogue waves on multisoliton background in the Benjamin Ono equation
    Liu, Yun-Kai
    Li, Biao
    [J]. PRAMANA-JOURNAL OF PHYSICS, 2017, 88 (04):
  • [3] Rogue Waves and Their Patterns in the Vector Nonlinear Schrodinger Equation
    Zhang, Guangxiong
    Huang, Peng
    Feng, Bao-Feng
    Wu, Chengfa
    [J]. JOURNAL OF NONLINEAR SCIENCE, 2023, 33 (06)
  • [4] General coupled nonlinear Schrodinger equation: Breather waves and rogue waves on a soliton background, and dynamics
    Wang, Xiu-Bin
    Han, Bo
    Tian, Shou-Fu
    [J]. SUPERLATTICES AND MICROSTRUCTURES, 2019, 128 : 83 - 91
  • [5] Rogue waves on the background of periodic standing waves in the derivative nonlinear Schrodinger equation
    Chen, Jinbing
    Pelinovsky, Dmitry E.
    [J]. PHYSICAL REVIEW E, 2021, 103 (06)
  • [6] Characteristics of rogue waves on a soliton background in a coupled nonlinear Schrodinger equation
    Wang, Xiu-Bin
    Han, Bo
    [J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2019, 42 (08) : 2586 - 2596
  • [7] Breathers, rogue waves and breather-rogue waves on a periodic background for the modified nonlinear Schrodinger equation
    Wu, Qing-Lin
    Zhang, Hai-Qiang
    [J]. WAVE MOTION, 2022, 110
  • [8] Nonlinear Dynamics of Rogue Waves in a Fifth-Order Nonlinear Schrodinger Equation
    Song, Ni
    Xue, Hui
    Zhao, Xiaoying
    [J]. IEEE ACCESS, 2020, 8 : 9610 - 9618
  • [9] Rogue waves on the double-periodic background in the focusing nonlinear Schrodinger equation
    Chen, Jinbing
    Pelinovsky, Dmitry E.
    White, Robert E.
    [J]. PHYSICAL REVIEW E, 2019, 100 (05)
  • [10] Rogue waves for the fourth-order nonlinear Schrodinger equation on the periodic background
    Zhang, Hai-Qiang
    Chen, Fa
    [J]. CHAOS, 2021, 31 (02)