Exact solutions of nonlocal Fokas-Lenells equation

被引：57
|
作者：
Zhang, Qinyu [1 ]
Zhang, Yi [1 ]
Ye, Rusuo [1 ]
机构：
[1] Zhejiang Normal Univ, Dept Math, Jinhua 321004, Zhejiang, Peoples R China
来源：
APPLIED MATHEMATICS LETTERS | 2019年 / 98卷
基金：
中国国家自然科学基金;
关键词：
Nonlocal Fokas-Lenells equation; Darboux transformation; Mixed soliton solution; DARBOUX TRANSFORMATION; SOLITONS;
D O I：
10.1016/j.aml.2019.05.015
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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.
引用
收藏
页码：336 / 343
页数：8
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