Darboux transformation of a new generalized nonlinear Schrodinger equation: soliton solutions, breather solutions, and rogue wave solutions

被引：14
|
作者：
Tang, Yaning [1 ]
He, Chunhua [1 ]
Zhou, Meiling [1 ]
机构：
[1] Northwestern Polytech Univ, Dept Appl Math, Xian 710072, Shaanxi, Peoples R China
来源：
NONLINEAR DYNAMICS | 2018年 / 92卷 / 04期
关键词：
Generalized nonlinear Schrodinger equation; Darboux transformation; Soliton solutions; Breather solutions; Rogue wave solutions; MODULATION INSTABILITY; PULSE-PROPAGATION; OPTICAL-FIBER; SYSTEM;
D O I：
10.1007/s11071-018-4178-1
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
In this paper, a new generalized nonlinear Schrodinger (GNLS) equation is investigated by Darboux matrix method. Firstly, the n-fold Darboux transformation (DT) of the GNLS equation is constructed. Then, the soliton solutions, breather solutions, and rogue wave solutions of the GNLS equation are studied based on the DT by choosing different seed solutions. Furthermore, the dynamic features of these solutions are explicitly delineated through some figures with the help of Maple software.
引用
收藏
页码：2023 / 2036
页数：14
相关论文
共 50 条
  • [31] Darboux-Ba?cklund transformation, breather and rogue wave solutions for the discrete Hirota equation
    Zhu, Yujie
    Yang, Yunqing
    Li, Xin
    OPTIK, 2021, 236
  • [32] Darboux-Backlund transformation, breather and rogue wave solutions for Ablowitz-Ladik equation
    Yang, Yunqing
    Zhu, Yujie
    OPTIK, 2020, 217
  • [33] Deformed soliton,breather,and rogue wave solutions of an inhomogeneous nonlinear Schrdinger equation
    陶勇胜
    贺劲松
    K. Porsezian
    Chinese Physics B, 2013, 22 (07) : 241 - 245
  • [34] Rogue wave solutions and rogue-breather solutions to the focusing nonlinear Schrödinger equation
    Chen, Si-Jia
    Lu, Xing
    COMMUNICATIONS IN THEORETICAL PHYSICS, 2024, 76 (03)
  • [35] Rogue wave solutions and rogue-breather solutions to the focusing nonlinear Schr?dinger equation
    Si-Jia Chen
    Xing Lü
    CommunicationsinTheoreticalPhysics, 2024, 76 (03) : 35 - 43
  • [36] Soliton solution, breather solution and rational wave solution for a generalized nonlinear Schrodinger equation with Darboux transformation
    Fan, Chengcheng
    Li, Li
    Yu, Fajun
    SCIENTIFIC REPORTS, 2023, 13 (01)
  • [37] Soliton, Breather and Rogue Wave Solutions for the Nonlinear Schrodinger Equation Coupled to a Multiple Self-Induced Transparency System
    Wang, Xin
    Wang, Lei
    CHINESE PHYSICS LETTERS, 2018, 35 (03)
  • [38] Soliton, breather, and rogue wave solutions for solving the nonlinear Schrodinger equation using a deep learning method with physical constraints*
    Pu, Jun-Cai
    Li, Jun
    Chen, Yong
    CHINESE PHYSICS B, 2021, 30 (06)
  • [39] Breather and rogue wave solutions of coupled derivative nonlinear Schrodinger equations
    Xiang, Xiao-Shuo
    Zuo, Da-Wei
    NONLINEAR DYNAMICS, 2022, 107 (01) : 1195 - 1204
  • [40] On the characterization of breather and rogue wave solutions and modulation instability of a coupled generalized nonlinear Schrodinger equations
    Priya, N. Vishnu
    Senthilvelan, M.
    WAVE MOTION, 2015, 54 : 125 - 133
12345