ROGUE WAVE STRUCTURE AND FORMATION MECHANISM IN THE COUPLED NONLINEAR SCHRODINGER EQUATIONS

被引：0
|
作者：
Li, Zaidong [1 ,2 ]
Wei, Hongchen [2 ]
He, Pengbin [3 ]
机构：
[1] Tianjin Univ Technol, Sch Sci, Tianjin 300384, Peoples R China
[2] Hebei Univ Technol, Dept Appl Phys, Tianjin 300401, Peoples R China
[3] Hunan Univ, Sch Phys & Elect, Changsha 410082, Hunan, Peoples R China
来源：
ROMANIAN REPORTS IN PHYSICS | 2019年 / 71卷 / 04期
基金：
中国国家自然科学基金;
关键词：
rogue wave; coupled nonlinear Schrodinger equations; formation mechanism; non-uniform energy exchange rate; SOLITON; OSCILLATIONS; INSTABILITY;
D O I：
暂无
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
By using the method of Darboux transformation, we solve the coupled nonlinear Schrodinger equations and obtain different types of exact rogue wave solutions. By adjusting the parameters of the dynamical model, we get a variety of rogue wave structures, namely bright, dark, and eye-shaped rogue waves. Also, their key characteristics are discussed in detail. We find that the non-uniform exchange rate of energy between the rogue wave and the continuous wave background can be adequately used to describe the formation mechanism of rogue waves in the coupled nonlinear Schrodinger equations.
引用
收藏
页数：15
相关论文
共 50 条
  • [21] Controllable rogue waves in coupled nonlinear Schrodinger equations with varying potentials and nonlinearities
    Cheng, Xueping
    Wang, Jianyong
    Li, Jinyu
    NONLINEAR DYNAMICS, 2014, 77 (03) : 545 - 552
  • [22] Solitary wave solutions of coupled nonlinear Schrodinger equations
    Erbay, Husnu A.
    Bulletin of the Technical University of Istanbul, 1994, 47 (04):
  • [23] Rogue wave solutions for a coupled nonlinear Schrodinger equation in the birefringent optical fiber
    Lan, Zhong-Zhou
    APPLIED MATHEMATICS LETTERS, 2019, 98 : 128 - 134
  • [24] Breather and its interaction with rogue wave of the coupled modified nonlinear Schrodinger equation
    Wang, Ming
    Xu, Tao
    He, Guoliang
    Tian, Yu
    CHINESE PHYSICS B, 2023, 32 (05)
  • [25] Nth-order rogue wave solutions of multicomponent nonlinear Schrodinger equations
    Bai, Yu-Shan
    Zheng, Li-Na
    Ma, Wen-Xiu
    NONLINEAR DYNAMICS, 2021, 106 (04) : 3415 - 3435
  • [26] Rogue Waves of the Vector Nonlinear Schrodinger Equations
    Baronio, F.
    Conforti, M.
    Wabnitz, S.
    Degasperis, A.
    2013 CONFERENCE ON LASERS AND ELECTRO-OPTICS EUROPE AND INTERNATIONAL QUANTUM ELECTRONICS CONFERENCE (CLEO EUROPE/IQEC), 2013,
  • [27] Rogue wave patterns in the nonlinear Schrodinger equation
    Yang, Bo
    Yang, Jianke
    PHYSICA D-NONLINEAR PHENOMENA, 2021, 419
  • [28] Rogue wave solutions in nonlinear optics with coupled Schrödinger equations
    Safdar Ali
    Muhammad Younis
    Muhammad Ozair Ahmad
    Syed Tahir Raza Rizvi
    Optical and Quantum Electronics, 2018, 50
  • [29] Numerical computation for rogue waves in the coupled nonlinear Schrodinger equations with the coherent coupling effect
    Liu, Lei
    Wang, Pengde
    INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2022, 99 (12) : 2433 - 2448
  • [30] Symmetry and asymmetry rogue waves in two-component coupled nonlinear Schrodinger equations
    Li, Zai-Dong
    Huo, Cong-Zhe
    Li, Qiu-Yan
    He, Peng-Bin
    Xu, Tian-Fu
    CHINESE PHYSICS B, 2018, 27 (04)
12345