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
  • [21] Rogue waves for the coupled variable-coefficient fourth-order nonlinear Schrodinger equations in an inhomogeneous optical fiber
    Du, Zhong
    Tian, Bo
    Chai, Han-Peng
    Sun, Yan
    Zhao, Xue-Hui
    CHAOS SOLITONS & FRACTALS, 2018, 109 : 90 - 98
  • [22] Hybrid structures of the rogue waves and breather-like waves for the higher-order coupled nonlinear Schrodinger equations
    Zhang, Xi
    Wang, Yu-Feng
    Yang, Sheng-Xiong
    CHAOS SOLITONS & FRACTALS, 2024, 180
  • [23] Characteristics of rogue waves on a soliton background in a coupled nonlinear Schrodinger equation
    Wang, Xiu-Bin
    Han, Bo
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2019, 42 (08) : 2586 - 2596
  • [24] Rogue waves in the (2+1)-dimensional nonlinear Schrodinger equations
    Liu, Changfu
    Wang, Zeping
    Dai, Zhengde
    Chen, Longwei
    INTERNATIONAL JOURNAL OF NUMERICAL METHODS FOR HEAT & FLUID FLOW, 2015, 25 (03) : 656 - 664
  • [25] ROGUE WAVE STRUCTURE AND FORMATION MECHANISM IN THE COUPLED NONLINEAR SCHRODINGER EQUATIONS
    Li, Zaidong
    Wei, Hongchen
    He, Pengbin
    ROMANIAN REPORTS IN PHYSICS, 2019, 71 (04)
  • [26] Numerical generation and investigation of rogue waves for discrete nonlinear Schrodinger equations
    Gupta, Mishu
    Malhotra, Shivani
    Gupta, Rama
    JOURNAL OF NONLINEAR OPTICAL PHYSICS & MATERIALS, 2023, 32 (03)
  • [27] Rogue waves of the coupled modified nonlinear Schr?dinger equations
    Hang, Chen
    Zhang, Hai-Qiang
    APPLIED MATHEMATICS LETTERS, 2023, 137
  • [28] Rogue-pair and dark-bright-rogue waves of the coupled nonlinear Schrodinger equations from inhomogeneous femtosecond optical fibers
    Yomba, Emmanuel
    Zakeri, Gholam-Ali
    CHAOS, 2016, 26 (08)
  • [29] High-order rogue waves of the coupled nonlinear Schrodinger equations with negative coherent coupling in an isotropic medium
    Sun, Wen-Rong
    Tian, Bo
    Xie, Xi-Yang
    Chai, Jun
    Jiang, Yan
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2016, 39 : 538 - 544
  • [30] The evolution of periodic waves of the coupled nonlinear Schrodinger equations
    Tsang, SC
    Chow, KW
    MATHEMATICS AND COMPUTERS IN SIMULATION, 2004, 66 (06) : 551 - 564
12345