The hierarchy of higher order solutions of the derivative nonlinear Schrodinger equation

被引：68
|
作者：
Zhang, Yongshuai [1 ]
Guo, Lijuan [1 ]
Xu, Shuwei [1 ]
Wu, Zhiwei [1 ]
He, Jingsong [1 ]
机构：
[1] Ningbo Univ, Dept Math, Ningbo 315211, Zhejiang, Peoples R China
来源：
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2014年 / 19卷 / 06期
关键词：
Higher-order positon; Higher-order rogue wave; Darboux transformation; Derivative nonlinear Schrodinger equation; SELF-PHASE MODULATION; DNLS EQUATION; ALFVEN WAVES; SOLITON; PULSES;
D O I：
10.1016/j.cnsns.2013.10.005
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we provide a simple method to generate higher order position solutions and rogue wave solutions for the derivative nonlinear Schrodinger equation. The formulae of these higher order solutions are given in terms of determinants. The dynamics and structures of solutions generated by this method are studied. (C) 2013 Elsevier B.V. All rights reserved.
引用
收藏
页码：1706 / 1722
页数：17
相关论文
共 50 条
  • [1] Soliton solutions of higher-order generalized derivative nonlinear Schrodinger equation
    Bi, Jinbo
    Chen, Dengyuan
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2010, 60 (07) : 1881 - 1887
  • [2] Higher-order semirational solutions and nonlinear wave interactions for a derivative nonlinear Schrodinger equation
    Wang, Lei
    Zhu, Yu-Jie
    Wang, Zi-Zhe
    Qi, Feng-Hua
    Guo, Rui
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2016, 33 : 218 - 228
  • [3] Exact solutions to nonlinear Schrodinger equation and higher-order nonlinear Schrodinger equation
    Ren Ji
    Ruan Hang-Yu
    COMMUNICATIONS IN THEORETICAL PHYSICS, 2008, 50 (03) : 575 - 578
  • [4] Exact Solutions of the Higher Order Nonlinear Schrodinger Equation
    Luo, Tianqi
    Huang, Xin
    PROCEEDINGS OF 2016 12TH INTERNATIONAL CONFERENCE ON COMPUTATIONAL INTELLIGENCE AND SECURITY (CIS), 2016, : 19 - 22
  • [5] Persistence of solutions to higher order nonlinear Schrodinger equation
    Carvajal, X.
    Neves, W.
    JOURNAL OF DIFFERENTIAL EQUATIONS, 2010, 249 (09) : 2214 - 2236
  • [6] The hierarchy of multi-soliton solutions of the derivative nonlinear Schrodinger equation
    Steudel, H
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2003, 36 (07): : 1931 - 1946
  • [7] ASYMPTOTICS FOR THE HIGHER-ORDER DERIVATIVE NONLINEAR SCHRODINGER EQUATION
    Naumkin, Pavel, I
    Sanchez-Suarez, Isahi
    COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2021, 20 (04) : 1447 - 1478
  • [8] Higher-order derivative nonlinear Schrodinger equation in the critical case
    Naumkin, Pavel I.
    Perez, Jhon J.
    JOURNAL OF MATHEMATICAL PHYSICS, 2018, 59 (02)
  • [9] Solitary wave solutions for a higher order nonlinear Schrodinger equation
    Triki, Houria
    Taha, Thiab R.
    MATHEMATICS AND COMPUTERS IN SIMULATION, 2012, 82 (07) : 1333 - 1340
  • [10] Bifurcation and optical solutions of the higher order nonlinear Schrodinger equation
    Tala-Tebue, Eric
    Tetchoka-Manemo, Cedric
    Inc, Mustafa
    Ejuh, Geh Wilson
    Alqahtani, Rubayyi T.
    OPTICAL AND QUANTUM ELECTRONICS, 2023, 55 (05)
12345