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

被引：5

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.

引用

页码：999 / 1010

页数：12

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