Coexistence of the breather and the rogue waves for a coupled nonlinear Schrodinger equation

被引：1
|
作者：
Guo, Ya-Hui [1 ]
Zuo, Da-Wei [1 ]
机构：
[1] Shijiazhuang Tiedao Univ, Dept Math & Phys, Shijiazhuang 050043, Peoples R China
来源：
PRAMANA-JOURNAL OF PHYSICS | 2023年 / 97卷 / 04期
基金：
中国国家自然科学基金;
关键词：
Coupled nonlinear Schrodinger equation; breather; rogue wave; MECHANISMS; SYSTEM;
D O I：
10.1007/s12043-023-02674-2
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this paper, based on the modified Darboux transformation, a new first-order solution of coupled fourth-order nonlinear Schrodinger equation (cNLS) is constructed. The amplitude of rogue wave, distance of the breather and the rogue wave can be changed if we adjust parameter d(1). With the adjustment of the parameter c(2), the breather and the rogue wave can be converted into each other, and the direction of propagation of the breather can be changed. When the initial wave height takes different values, images of the breather and the rogue wave as well as soliton-like and rogue waves can be presented.
引用
收藏
页数：7
相关论文
共 50 条
  • [1] Coexistence of the breather and the rogue waves for a coupled nonlinear Schrödinger equation
    Ya-Hui Guo
    Da-Wei Zuo
    Pramana, 97
  • [2] General coupled nonlinear Schrodinger equation: Breather waves and rogue waves on a soliton background, and dynamics
    Wang, Xiu-Bin
    Han, Bo
    Tian, Shou-Fu
    SUPERLATTICES AND MICROSTRUCTURES, 2019, 128 : 83 - 91
  • [3] Dynamics of breather waves and higher-order rogue waves in a coupled nonlinear Schrodinger equation
    Peng, Wei-Qi
    Tian, Shou-Fu
    Zhang, Tian-Tian
    EPL, 2018, 123 (05)
  • [4] Breathers, rogue waves and breather-rogue waves on a periodic background for the modified nonlinear Schrodinger equation
    Wu, Qing-Lin
    Zhang, Hai-Qiang
    WAVE MOTION, 2022, 110
  • [5] 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)
  • [6] Breathers and breather-rogue waves on a periodic background for the derivative nonlinear Schrodinger equation
    Xue, Bo
    Shen, Jing
    Geng, Xianguo
    PHYSICA SCRIPTA, 2020, 95 (05)
  • [7] CHARACTERISTICS OF THE BREATHER AND ROGUE WAVES IN A (2+1)-DIMENSIONAL NONLINEAR SCHRODINGER EQUATION
    Wang, Xiu-Bin
    Tian, Shou-Fu
    Zhang, Tian-Tian
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2018, 146 (08) : 3353 - 3365
  • [8] Breather wave, rogue wave and solitary wave solutions of a coupled nonlinear Schrodinger equation
    Feng, Lian-Li
    Zhang, Tian-Tian
    APPLIED MATHEMATICS LETTERS, 2018, 78 : 133 - 140
  • [9] Exotic dynamics of breather and rogue waves in a coupled nonlinear Schrödinger equation
    Wang, Xiu-Bin
    MODERN PHYSICS LETTERS B, 2024, 38 (11):
  • [10] Breather and rogue wave solutions of a generalized nonlinear Schrodinger equation
    Wang, L. H.
    Porsezian, K.
    He, J. S.
    PHYSICAL REVIEW E, 2013, 87 (05):
12345