Multi-rogue waves and rational solutions of the coupled nonlinear Schrodinger equations

被引：78
|
作者：
Zhai, Bao-Guo [1 ]
Zhang, Wei-Guo [1 ]
Wang, Xiao-Li [1 ]
Zhang, Hai-Qiang [1 ]
机构：
[1] Univ Shanghai Sci & Technol, Coll Sci, Shanghai 200093, Peoples R China
来源：
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2013年 / 14卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Coupled nonlinear Schrodinger equations; Rogue waves; Rational solutions; Modified Darboux transformation; TRANSFORMATION;
D O I：
10.1016/j.nonrwa.2012.04.010
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, the modified Darboux transformation method is applied to the coupled nonlinear Schrodinger (CNLS) equations. By using the iterative algorithm of the Darboux transformation, the multi-rogue wave solutions of CNLS equations are generated from the plane wave solution. The hierarchies of first-, second- and third-order rational solutions with free parameters are explicitly presented. Some basic properties of multi-rogue waves and their collision structures are studied on the basis of the solutions obtained. In addition, the relation of rational solutions between N-CNLS equations and CNLS equations is explained. Our results might provide useful information for investigating the dynamics of multi-rogue waves in the deep ocean and nonlinear optical fibers. (C) 2012 Elsevier Ltd. All rights reserved.
引用
收藏
页码：14 / 27
页数：14
相关论文
共 50 条
  • [1] Vector rogue waves in integrable M-coupled nonlinear Schrodinger equations
    Rao, Jiguang
    Porsezian, Kuppuswamy
    Kanna, T.
    Cheng, Yi
    He, Jingsong
    PHYSICA SCRIPTA, 2019, 94 (07)
  • [2] MULTI-ROGUE WAVES AND TRIANGULAR NUMBERS
    Ankiewicz, Adrian
    Akhmediev, Nail
    ROMANIAN REPORTS IN PHYSICS, 2017, 69 (01)
  • [3] Rogue waves and other solutions of single and coupled Ablowitz-Ladik and nonlinear Schrodinger equations
    Ankiewicz, A.
    Devine, N.
    Uenal, M.
    Chowdury, A.
    Akhmediev, N.
    JOURNAL OF OPTICS, 2013, 15 (06)
  • [4] Higher order rogue wave solutions of general coupled nonlinear Schrodinger equations
    Priya, N. Vishnu
    Senthilvelan, M.
    PHYSICA SCRIPTA, 2015, 90 (02)
  • [5] The breather and semi-rational rogue wave solutions for the coupled mixed derivative nonlinear Schrodinger equations
    Jin, Jie
    Zhang, Yi
    Ye, Rusuo
    Wu, Lifei
    NONLINEAR DYNAMICS, 2023, 111 (01) : 633 - 643
  • [6] Rogue Wave Type Solutions and Spectra of Coupled Nonlinear Schrodinger Equations
    Degasperis, Antonio
    Lombardo, Sara
    Sommacal, Matteo
    FLUIDS, 2019, 4 (01)
  • [7] 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
  • [8] Rational solutions to the KPI equation and multi rogue waves
    Gaillard, Pierre
    ANNALS OF PHYSICS, 2016, 367 : 1 - 5
  • [9] Fredholm and Wronskian representations of solutions to the KPI equation and multi-rogue waves
    Gaillard, Pierre
    JOURNAL OF MATHEMATICAL PHYSICS, 2016, 57 (06)
  • [10] 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
12345