期刊
APPLIED MATHEMATICS LETTERS
卷 63, 期 -, 页码 88-94出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.aml.2016.07.024
关键词
Nonlocal nonlinear Schrodinger equation; Soliton solutions; Darboux transformation; Parity-time symmetry
资金
- Natural Science Foundation of Beijing, China [1162003]
- Science Foundations of China University of Petroleum, Beijing [2462015YQ0604, 2462015QZDX02]
- National Natural Science Foundations of China [11371371, 61505054, 11426105]
In this letter, for the discrete parity-time-symmetric nonlocal nonlinear Schrodinger equation, we construct the Darboux transformation, which provides an algebraic iterative algorithm to obtain a series of analytic solutions from a known one. To illustrate, the breathing-soliton solutions, periodic-wave solutions and localized rational soliton solutions are derived with the zero and plane-wave solutions as the seeds. The properties of those solutions are also discussed, and particularly the asymptotic analysis reveals all possible cases of the interaction between the discrete rational dark and antidark solitons. (C) 2016 Elsevier Ltd. All rights reserved.
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