期刊
APPLIED MATHEMATICS LETTERS
卷 84, 期 -, 页码 63-69出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.aml.2018.04.014
关键词
Nonlocal nonlinear Schrodinger equations; Lax pair; Darboux transformation; Rational solutions
资金
- National Natural Science Foundation of China [61705006]
- Fundamental Research Funds of the Central Universities [230201606500048]
We derive the nonlocal sixth-order nonlinear Schrodinger (NLS) equation which admits rational solutions. Through the Lax pair, we prove the integrability of the nonlocal NLS equation. Furthermore, with the Darboux transformation, analytic rational solutions up to the second order are explicitly given. (C) 2018 Elsevier Ltd. All rights reserved.
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