Abundant rogue wave solutions for the (2+1)-dimensional generalized Korteweg-de Vries equation

被引：4
|
作者：
Lu, Huanhuan [1 ]
Zhang, Yufeng [1 ]
机构：
[1] China Univ Min & Technol, Sch Math, Xuzhou 221116, Jiangsu, Peoples R China
来源：
INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION | 2021年 / 22卷 / 7-8期
基金：
中国国家自然科学基金;
关键词：
Hirota bilinear formulation; multiple rogue waves; symbolic computation; LUMP;
D O I：
10.1515/ijnsns-2020-0094
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
In this paper, we analyse two types of rogue wave solutions generated from two improved ansatzs, to the (2 + 1)-dimensional generalized Korteweg-de Vries equation. With symbolic computation, the first-order rogue waves, second-order rogue waves, third-order rogue waves are generated directly from the first ansatz. Based on the Hirota bilinear formulation, another type of one-rogue waves and two-rogue waves can be obtained from the second ansatz. In addition, the dynamic behaviours of obtained rogue wave solutions are illustrated graphically.
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页码：999 / 1010
页数：12
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