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
  • [1] Darboux transformation of a new generalized nonlinear Schrödinger equation: soliton solutions, breather solutions, and rogue wave solutions
    Yaning Tang
    Chunhua He
    Meiling Zhou
    Nonlinear Dynamics, 2018, 92 : 2023 - 2036
  • [2] Extended generalized Darboux transformation to hybrid rogue wave and breather solutions for a nonlinear Schrodinger equation
    Li, Bang-Qing
    Ma, Yu-Lan
    APPLIED MATHEMATICS AND COMPUTATION, 2020, 386
  • [3] Darboux transformation of the general Hirota equation: multisoliton solutions, breather solutions, and rogue wave solutions
    Deng-Shan Wang
    Fei Chen
    Xiao-Yong Wen
    Advances in Difference Equations, 2016
  • [4] Darboux transformation of the general Hirota equation: multisoliton solutions, breather solutions, and rogue wave solutions
    Wang, Deng-Shan
    Chen, Fei
    Wen, Xiao-Yong
    ADVANCES IN DIFFERENCE EQUATIONS, 2016,
  • [5] 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)
  • [6] A new nonlinear wave equation: Darboux transformation and soliton solutions
    Geng, Xianguo
    Shen, Jing
    Xue, Bo
    WAVE MOTION, 2018, 79 : 44 - 56
  • [7] The general mixed nonlinear Schrodinger equation: Darboux transformation, rogue wave solutions, and modulation instability
    Li, Wenbo
    Xue, Chunyan
    Sun, Lili
    ADVANCES IN DIFFERENCE EQUATIONS, 2016,
  • [8] Soliton, breather and rogue wave solutions of the coupled Gerdjikov–Ivanov equation via Darboux transformation
    Ting Ji
    Yunyun Zhai
    Nonlinear Dynamics, 2020, 101 : 619 - 631
  • [9] Darboux transformation and soliton solutions for generalized nonlinear Schrodinger equations
    Geng, XG
    Tam, HW
    JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1999, 68 (05) : 1508 - 1512
  • [10] 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
12345