Some localized wave solutions for the coupled Gerdjikov-Ivanov equation

被引：13
|
作者：
Dong, Min-Jie [1 ]
Tian, Li-Xin [1 ,2 ]
Wei, Jing-Dong [3 ]
Wang, Yun [4 ]
机构：
[1] Nanjing Normal Univ, Sch Math Sci, Nanjing, Jiangsu, Peoples R China
[2] Jiangsu Univ, Nonlinear Sci Res Ctr, Zhenjiang, Jiangsu, Peoples R China
[3] Jiangsu Univ, Sch Math Sci, Zhenjiang, Jiangsu, Peoples R China
[4] Nanjing Univ Finance & Econ, Sch Appl Math, Nanjing, Jiangsu, Peoples R China
来源：
APPLIED MATHEMATICS LETTERS | 2021年 / 122卷
基金：
中国国家自然科学基金;
关键词：
Lax pair; The Darboux transformation; The Darboux-dressing transformation; Localized wave solutions; MODULATION; SYSTEMS;
D O I：
10.1016/j.aml.2021.107483
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The coupled Gerdjikov-Ivanov equation is investigated in this paper, which plays an important role in theoretical physics. According Lax pair, Darboux transformation, Darboux-dressing transformation and asymptotic expansion, some localized waves (breather wave, rogue waves and novel vector rogue waves) are obtained. Our work has great significance to theoretical experiments of the rogue wave generation mechanism and propagation trajectory. (C) 2021 Published by Elsevier Ltd.
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页数：7
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