Multiple lump solutions of the (3+1)-dimensional potential Yu-Toda-Sasa-Fukuyama equation

被引：78
作者：
Zhao, Zhonglong [1 ]
He, Lingchao [1 ]
机构：
[1] North Univ China, Dept Math, Taiyuan 030051, Shanxi, Peoples R China
来源：
APPLIED MATHEMATICS LETTERS | 2019年 / 95卷
关键词：
(3+1)-dimensional potential; Yu-Toda-Sasa-Fukuyama equation; Multiple lump solutions; Rogue wave; CALOGERO-BOGOYAVLENSKII-SCHIFF; ROGUE WAVES; BACKLUND-TRANSFORMATIONS; RATIONAL SOLUTIONS; KINK SOLUTIONS; JIMBO-MIWA; SOLITON; DYNAMICS;
D O I：
10.1016/j.aml.2019.03.031
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The bilinear method is employed to construct the multiple lump solutions of the (3+1)-dimensional potential Yu-Toda-Sasa-Fukuyama equation in fluid dynamics. The 1-lump solutions, 3-lump solutions and 6-lump solutions are explicitly presented. The centers of the 3-lump wave have a triangular structure, and the 6-lump wave possesses a central peak and five peaks in a ring. The dynamic characteristics of the obtained solutions are analyzed with the aid of numerical simulation. (C) 2019 Elsevier Ltd. All rights reserved.
引用
收藏
页码：114 / 121
页数：8
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