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
  • [1] Rogue wave solutions in nonlinear optics with coupled Schrodinger equations
    Ali, Safdar
    Younis, Muhammad
    Ahmad, Muhammad Ozair
    Rizvi, Syed Tahir Raza
    OPTICAL AND QUANTUM ELECTRONICS, 2018, 50 (07)
  • [2] Rogue Wave Type Solutions and Spectra of Coupled Nonlinear Schrodinger Equations
    Degasperis, Antonio
    Lombardo, Sara
    Sommacal, Matteo
    FLUIDS, 2019, 4 (01)
  • [3] Breather and rogue wave solutions of coupled derivative nonlinear Schrodinger equations
    Xiang, Xiao-Shuo
    Zuo, Da-Wei
    NONLINEAR DYNAMICS, 2022, 107 (01) : 1195 - 1204
  • [4] Formation mechanism of asymmetric breather and rogue waves in pair-transition-coupled nonlinear Schrodinger equations
    Li, Zai-Dong
    Wang, Yang-yang
    He, Peng-Bin
    CHINESE PHYSICS B, 2019, 28 (01)
  • [5] Higher order rogue wave solutions of general coupled nonlinear Schrodinger equations
    Priya, N. Vishnu
    Senthilvelan, M.
    PHYSICA SCRIPTA, 2015, 90 (02)
  • [6] Rogue wave solutions for the coupled cubic-quintic nonlinear Schrodinger equations in nonlinear optics
    Zhang, Yan
    Nie, Xian-Jia
    Zhaqilao
    PHYSICS LETTERS A, 2014, 378 (03) : 191 - 197
  • [7] Dark solitons, breathers, and rogue wave solutions of the coupled generalized nonlinear Schrodinger equations
    Priya, N. Vishnu
    Senthilvelan, M.
    Lakshmanan, M.
    PHYSICAL REVIEW E, 2014, 89 (06):
  • [8] Rogue waves for a system of coupled derivative nonlinear Schrodinger equations
    Chan, H. N.
    Malomed, B. A.
    Chow, K. W.
    Ding, E.
    PHYSICAL REVIEW E, 2016, 93 (01)
  • [9] Vector rogue waves in the mixed coupled nonlinear Schrodinger equations
    Li, Min
    Liang, Huan
    Xu, Tao
    Liu, Changjing
    EUROPEAN PHYSICAL JOURNAL PLUS, 2016, 131 (04):
  • [10] High-order rogue wave solutions for the coupled nonlinear Schrodinger equations-II
    Zhao, Li-Chen
    Guo, Boling
    Ling, Liming
    JOURNAL OF MATHEMATICAL PHYSICS, 2016, 57 (04)
12345