Characteristics of rogue waves on a soliton background in a coupled nonlinear Schrodinger equation

被引：15
|
作者：
Wang, Xiu-Bin [1 ]
Han, Bo [1 ]
机构：
[1] Harbin Inst Technol, Dept Math, Harbin 150001, Heilongjiang, Peoples R China
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2019年 / 42卷 / 08期
基金：
中国国家自然科学基金;
关键词：
dynamics; solitons; rogue waves; BOUNDARY VALUE-PROBLEMS; DARK SOLITONS; BREATHER; DYNAMICS; INTEGRABILITY; SYSTEM;
D O I：
10.1002/mma.5532
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, a coupled nonlinear Schrodinger (CNLS) equation, which can describe evolution of localized waves in a two-mode nonlinear fiber, is under investigation. By using the Darboux-dressing transformation, the new localized wave solutions of the equation are well constructed with a detailed derivation. These solutions reveal rogue waves on a soliton background. Moreover, the main characteristics of the solutions are discussed with some graphics. Our results would be of much importance in predicting and enriching rogue wave phenomena in nonlinear wave fields.
引用
收藏
页码：2586 / 2596
页数：11
相关论文
共 50 条
  • [41] Simple determinant representation for rogue waves of the nonlinear Schrodinger equation
    Ling, Liming
    Zhao, Li-Chen
    PHYSICAL REVIEW E, 2013, 88 (04):
  • [42] 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)
  • [43] On the dynamics of soliton waves in a generalized nonlinear Schrodinger equation
    Hosseini, K.
    Hincal, E.
    Salahshour, S.
    Mirzazadeh, M.
    Dehingia, K.
    Nath, B. J.
    OPTIK, 2023, 272
  • [44] 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):
  • [45] Characteristics of rogue waves on a periodic background for the Hirota equation
    Peng, Wei-Qi
    Tian, Shou-Fu
    Wang, Xiu-Bin
    Zhang, Tian-Tian
    WAVE MOTION, 2020, 93
  • [46] Rogue waves on the double-periodic background for a nonlinear Schrodinger equation with higher-order effects
    Zhang, Hai-Qiang
    Liu, Rui
    Chen, Fa
    NONLINEAR DYNAMICS, 2023, 111 (01) : 645 - 654
  • [47] Vector rogue waves, rogue wave-to-soliton conversions and modulation instability of the higher-order matrix nonlinear Schrodinger equation
    Sun, Wen-Rong
    Wang, Lei
    EUROPEAN PHYSICAL JOURNAL PLUS, 2018, 133 (12):
  • [48] Deformed soliton, breather, and rogue wave solutions of an inhomogeneous nonlinear Schrodinger equation
    Tao Yong-Sheng
    He Jing-Song
    Porsezian, K.
    CHINESE PHYSICS B, 2013, 22 (07)
  • [49] Nonlinear Dynamics of Rogue Waves in a Fifth-Order Nonlinear Schrodinger Equation
    Song, Ni
    Xue, Hui
    Zhao, Xiaoying
    IEEE ACCESS, 2020, 8 : 9610 - 9618
  • [50] Soliton propagation for a coupled Schrodinger equation describing Rossby waves
    Xu, Li-Yang
    Yin, Xiao-Jun
    Cao, Na
    Bai, Shu-Ting
    CHINESE PHYSICS B, 2023, 32 (07)
12345