A second-order three-wave interaction system and its rogue wave solutions

被引：13
|
作者：
Geng, Xianguo [1 ]
Li, Yihao [1 ]
Xue, Bo [1 ]
机构：
[1] Zhengzhou Univ, Sch Math & Stat, 100 Kexue Rd, Zhengzhou 450001, Henan, Peoples R China
来源：
NONLINEAR DYNAMICS | 2021年 / 105卷 / 03期
基金：
中国国家自然科学基金;
关键词：
Second-order three-wave interaction system; Darboux transformation; Rogue wave solutions; QUASI-PERIODIC SOLUTIONS; STEEPEST DESCENT METHOD; RESONANT INTERACTION; INTERACTION EQUATIONS; ASYMPTOTICS; SOLITONS;
D O I：
10.1007/s11071-021-06727-2
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
On the basis of a 3 x 3 matrix spectral problem, a second-order three-wave interaction system is proposed. A one-fold Darboux transformation is derived by using the gauge transformation between the 3x3 matrix spectral problems. The compact determinant form of the N-fold Darboux transformation is obtained by iterating the onefold Darboux transformation and solving a complex linear algebraic system. Furthermore, the N-fold Darboux transformation and Taylor expansion are used to construct multifold generalized Darboux transforms of the second-order three-wave interaction system. As applications, the solutions of the interaction between a dark-bright soliton and a rogue wave (RW), the solutions of the interaction between two dark-bright solitons and a second-order rogue wave, the solutions of the eye-shaped rogue wave and triangle rogue wave are obtained.
引用
收藏
页码：2575 / 2593
页数：19
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