Journal
APPLIED MATHEMATICS LETTERS
Volume 130, Issue -, Pages -Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.aml.2022.107998
Keywords
Nonlocal NLS equation; Darboux transformation; Soliton solution
Categories
Funding
- National Natural Science Foundation of China [11705290, 11901538]
- Independent Innovation Application Research Project of ZUT, China [K2020YY006]
- Scientific Research Team Development Project of ZUT, China [K2020TD004]
- Young Scholar Foundation of ZUT, China [2018XQG16]
- Natural Science Foundation of ZUT [K2022MS002]
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The study investigates the space-shifted nonlocal PT symmetric nonlinear Schrodinger equation, constructing three types of Darboux transformations based on the symmetry conditions of the linear matrix spectral problem. Various analytical solutions such as periodic, breather-like and bounded soliton solutions are derived from three kinds of spectral configurations, showing the dynamics of these solutions to the space-shifted nonlocal PT symmetric NLS equation.
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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