General high-order rogue waves in the Hirota equation

被引：15
|
作者：
Wang, Tingyou [1 ,2 ]
Qin, Zhenyun [1 ,2 ]
Mu, Gui [3 ]
Zheng, Fuzhuang [1 ,2 ]
机构：
[1] Fudan Univ, Sch Math, Key Lab Math Nonlinear Sci, Shanghai 200433, Peoples R China
[2] Fudan Univ, Shanghai Ctr Math Sci, Shanghai 200433, Peoples R China
[3] Kunming Univ, Sch Math, Kunming 650214, Yunnan, Peoples R China
来源：
APPLIED MATHEMATICS LETTERS | 2023年 / 140卷
基金：
上海市自然科学基金; 中国国家自然科学基金;
关键词：
Hirota equation; Rogue waves; Bilinear method; KP hierarchy reduction;
D O I：
10.1016/j.aml.2023.108571
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this work, we focus on the construction of Nth-order rogue waves for the Hirota equation by utilizing the bilinear method and Kadomtsev-Petviashvili (KP) hierarchy reduction technique. The formula can be represented in terms of determinants whose matrix elements are related to Schur polynomials. In addition, some interesting dynamic patterns of rogue waves are exhibited analytically and graphically.(c) 2023 Elsevier Ltd. All rights reserved.
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页数：10
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