4.7 Article

Rational solutions for the nonlocal sixth-order nonlinear Schrodinger equation

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

  1. National Natural Science Foundation of China [61705006]
  2. Fundamental Research Funds of the Central Universities [230201606500048]

向作者/读者索取更多资源

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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