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.
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页数：8
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