Journal
APPLIED MATHEMATICS LETTERS
Volume 107, Issue -, Pages -Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.aml.2020.106441
Keywords
Fokas-Lenells equation; Darboux transformation; Gauge transformation; Multi-soliton solutions
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Funding
- National Natural Science Foundation of China [11771151]
- Guangdong Natural Science Foundation of China [2017A030313008]
- Guangzhou Science and Technology Program of China [201904010362]
- Fundamental Research Funds for the Central Universities of China [2019MS110]
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In this letter, we report two novel Lax pairs for the Fokas-Lenells equation by the gauge transformation. Based on this result, we construct the three Darboux transformations and prove that they are equivalent to each other. Then we utilize the Darboux transformation to generate the multi-soliton solutions, some of which are exhibited explicitly to illustrate the distinct properties of Fokas-Lenells equation. (C) 2020 Elsevier Ltd. All rights reserved.
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