Journal
APPLIED MATHEMATICS LETTERS
Volume 84, Issue -, Pages 63-69Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.aml.2018.04.014
Keywords
Nonlocal nonlinear Schrodinger equations; Lax pair; Darboux transformation; Rational solutions
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Funding
- National Natural Science Foundation of China [61705006]
- Fundamental Research Funds of the Central Universities [230201606500048]
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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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