Three types of Darboux transformation and general soliton solutions for the space-shifted nonlocal PT symmetric nonlinear Schrodinger equation

被引：56
|
作者：
Wang, Xin [1 ]
Wei, Jiao [2 ]
机构：
[1] Zhongyuan Univ Technol, Coll Sci, Zhengzhou 450007, Peoples R China
[2] Zhengzhou Univ, Sch Math & Stat, 100 Kexue Rd, Zhengzhou 450001, Henan, Peoples R China
来源：
APPLIED MATHEMATICS LETTERS | 2022年 / 130卷
基金：
中国国家自然科学基金;
关键词：
Nonlocal NLS equation; Darboux transformation; Soliton solution;
D O I：
10.1016/j.aml.2022.107998
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Under investigation is the space-shifted nonlocal PT symmetric nonlinear Schrodinger (NLS) equation, which is a novel nonlocal reduction of the classical AKNS system proposed by Ablowitz and Musslimani (2021). We construct three types of Darboux transformation with the help of the symmetry conditions of the linear matrix spectral problem. Several kinds of analytical solutions such as the periodic, breather-like and bounded soliton solutions under the zero background are derived from three kinds of spectral configurations on the complex plane. Dynamics of these solutions to the space-shifted nonlocal PT symmetric NLS equation are shown. (C) 2022 Elsevier Ltd. All rights reserved.
引用
收藏
页数：8
相关论文
共 50 条
  • [21] Darboux transformation and soliton solutions for nonlocal Kundu-NLS equation
    Yan Li
    Jian Li
    Ruiqi Wang
    Nonlinear Dynamics, 2023, 111 : 745 - 751
  • [22] Darboux transformation and soliton-like solutions of nonlinear Schrodinger equations
    Xia, TC
    Chen, XH
    Chen, DY
    CHAOS SOLITONS & FRACTALS, 2005, 26 (03) : 889 - 896
  • [23] Multiple bright soliton solutions of a reverse-space nonlocal nonlinear Schrodinger equation
    Chen, Junchao
    Yan, Qixiu
    Zhang, Hao
    APPLIED MATHEMATICS LETTERS, 2020, 106
  • [24] Bright–dark solitons in the space-shifted nonlocal coupled nonlinear Schrödinger equation
    Ping Ren
    Jiguang Rao
    Nonlinear Dynamics, 2022, 108 : 2461 - 2470
  • [25] Darboux transformations and global solutions for a nonlocal derivative nonlinear Schrodinger equation
    Zhou, Zi-Xiang
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2018, 62 : 480 - 488
  • [26] Reduction approach and three types of multi-soliton solutions of the shifted nonlocal mKdV equation
    Wu, Jianping
    NONLINEAR DYNAMICS, 2022, 109 (04) : 3017 - 3027
  • [27] A new nonlinear wave equation: Darboux transformation and soliton solutions
    Geng, Xianguo
    Shen, Jing
    Xue, Bo
    WAVE MOTION, 2018, 79 : 44 - 56
  • [28] Reduction approach and three types of multi-soliton solutions of the shifted nonlocal mKdV equation
    Jianping Wu
    Nonlinear Dynamics, 2022, 109 : 3017 - 3027
  • [29] Mixed soliton solutions of the defocusing nonlocal nonlinear Schrodinger equation
    Xu, Tao
    Lan, Sha
    Li, Min
    Li, Ling-Ling
    Zhang, Guo-Wei
    PHYSICA D-NONLINEAR PHENOMENA, 2019, 390 : 47 - 61
  • [30] Multicomponent nonlinear Schrodinger equation in 2+1 dimensions, its Darboux transformation and soliton solutions
    Riaz, H. Wajahat A.
    EUROPEAN PHYSICAL JOURNAL PLUS, 2019, 134 (05):
12345