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
  • [1] BRIGHT SOLITONS IN THE SPACE-SHIFTED PT-SYMMETRIC NONLOCAL NONLINEAR SCHRODINGER EQUATION
    Chen, Sheng-An
    Mihalache, Dumitru
    Jin, Kai
    Li, Junyan
    Rao, Jiguang
    ROMANIAN REPORTS IN PHYSICS, 2023, 75 (01)
  • [2] General higher-order rogue waves in the space-shifted PT-symmetric nonlocal nonlinear Schrodinger equation
    Rao, Ji-Guang
    Chen, Sheng-An
    Wu, Zhao-Jun
    He, Jin-Song
    ACTA PHYSICA SINICA, 2023, 72 (10)
  • [3] Darboux transformation and analytic solutions of the discrete PT-symmetric nonlocal nonlinear Schrodinger equation
    Xu, Tao
    Li, Hengji
    Zhang, Hongjun
    Li, Min
    Lan, Sha
    APPLIED MATHEMATICS LETTERS, 2017, 63 : 88 - 94
  • [4] Darboux transformation and soliton solutions in the parity-time-symmetric nonlocal vector nonlinear Schrodinger equation
    Zhang, Hai-Qiang
    Zhang, Meng-Yue
    Hu, Rui
    APPLIED MATHEMATICS LETTERS, 2018, 76 : 170 - 174
  • [5] Multiple dark and antidark soliton interactions in a space shifted PT symmetric nonlocal nonlinear Schrodinger equation
    Wei, Bo
    Liang, Jing
    NONLINEAR DYNAMICS, 2022, 109 (04) : 2969 - 2978
  • [6] Binary Darboux transformation and new soliton solutions of the focusing nonlocal nonlinear Schrodinger equation
    Xu, Chuanxin
    Xu, Tao
    Meng, Dexin
    Zhang, Tianli
    An, Licong
    Han, Lijun
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2022, 516 (02)
  • [7] Bright-dark solitons in the space-shifted nonlocal coupled nonlinear Schrodinger equation
    Ren, Ping
    Rao, Jiguang
    NONLINEAR DYNAMICS, 2022, 108 (03) : 2461 - 2470
  • [8] Darboux transformation and loop soliton solutions for the complex space-time-shifted nonlocal short pulse equation
    Wang, Xin
    Kang, Jingfeng
    Zhang, Jianlin
    Zhao, Tengjin
    Jin, Wentao
    NONLINEAR DYNAMICS, 2023, 111 (14) : 13375 - 13390
  • [9] Darboux transformation and loop soliton solutions for the complex space–time-shifted nonlocal short pulse equation
    Xin Wang
    Jingfeng Kang
    Jianlin Zhang
    Tengjin Zhao
    Wentao Jin
    Nonlinear Dynamics, 2023, 111 : 13375 - 13390
  • [10] Darboux transformation and soliton solutions of a nonlocal Hirota equation
    Xia, Yarong
    Yao, Ruoxia
    Xin, Xiangpeng
    CHINESE PHYSICS B, 2022, 31 (02)
12345