Journal
APPLIED MATHEMATICS LETTERS
Volume 98, Issue -, Pages 336-343Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.aml.2019.05.015
Keywords
Nonlocal Fokas-Lenells equation; Darboux transformation; Mixed soliton solution
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Funding
- National Natural Science Foundation of China [11371326]
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In this paper we propose a nonlocal Fokas-Lenells (FL) equation which can be derived from the Kaup-Newell (KN) linear scattering problem. By constructing the Darboux transformation of nonlocal FL equation, we obtain its different kinds of exact solutions including bright/dark solitons, kink solutions, periodic solutions and several types of mixed soliton solutions. It is shown that the solutions of nonlocal FL equation possess different properties from the normal FL equation. (C) 2019 Published by Elsevier Ltd.
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