Darboux transformation and exact solutions for a four-component Fokas-Lenells equation

被引：14
作者：
Li, Yihao [1 ]
Geng, Xianguo [1 ]
Xue, Bo [1 ]
Li, Ruomeng [1 ]
机构：
[1] Zhengzhou Univ, Sch Math & Stat, 100 Kexue Rd, Zhengzhou 450001, Henan, Peoples R China
来源：
RESULTS IN PHYSICS | 2021年 / 31卷
基金：
中国国家自然科学基金;
关键词：
Four-component Fokas-Lenells equation; Soliton; Breather solution; Rogue wave solution; STEEPEST DESCENT METHOD; ROGUE WAVES; SOLITONS; ASYMPTOTICS; SYSTEM;
D O I：
10.1016/j.rinp.2021.105027
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
In the present paper, we introduce a 4 x 4 matrix spectral problem and derive a four-component Fokas-Lenells equation. N-fold Darboux transformations for the four-component Fokas-Lenells equation are constructed by using the gauge transformation between spectral problems and an iterative procedure. Resorting to the limit technique and Taylor series, we obtain the N-fold generalized Darboux transformation. As an illustrative example, by utilizing the resulting Darboux transformations and Mathematica software, some exact solutions for the four-component Fokas-Lenells equation are obtained, including soliton, breather solution and rogue wave solution. Moreover, the dynamical behaviour of these solutions is analysed in detail.
引用
收藏
页数：13
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