Fokas-Lenells equation: Three types of Darboux transformation and multi-soliton solutions

被引：20
|
作者：
Wang, Yao [1 ]
Xiong, Zhi-Jin [2 ]
Ling, Liming [1 ]
机构：
[1] South China Univ Technol, Sch Math, Guangzhou 510641, Peoples R China
[2] South China Univ Technol, Sch Elect Power Engn, Guangzhou 510641, Peoples R China
来源：
APPLIED MATHEMATICS LETTERS | 2020年 / 107卷
基金：
中国国家自然科学基金;
关键词：
Fokas-Lenells equation; Darboux transformation; Gauge transformation; Multi-soliton solutions; ROGUE WAVES; ASYMPTOTICS; SOLITONS; SYSTEM; ORDER;
D O I：
10.1016/j.aml.2020.106441
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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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页数：8
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