Exact wave solutions for a (3+1)-dimensional generalized B-type Kadomtsev-Petviashvili equation

被引：9
|
作者：
Li, Wei [1 ]
Zhang, Yan [1 ]
Liu, Yinping [1 ]
机构：
[1] East China Normal Univ, Dept Comp Sci & Technol, Shanghai, Peoples R China
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2019年 / 77卷 / 12期
基金：
中国国家自然科学基金;
关键词：
Hirota bilinear method; (3+1)-dimensional generalized BKP equation; Lump solutions; Rogue wave solutions; Periodic solutions; Interaction solutions; MULTIPLE-SOLITON SOLUTIONS; BACKLUND TRANSFORMATION; BILINEAR FORMALISM; LUMP SOLUTIONS;
D O I：
10.1016/j.camwa.2019.01.027
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this work, we investigate a (3+1)-dimensional generalized B-type Kadomtsev-Petviashvili equation. Based on the simplified Hirota bilinear method, we first construct its soliton solutions. Meanwhile, we correct the formula of N-soliton solution for this equation. On the basis of these solitons we further calculate its lump solutions, periodic waves. Meanwhile, rogue waves as well as interaction solutions of this equation are also obtained by a direct algebraic method. Some figures are given to display the behavior of these solutions. (C) 2019 Elsevier Ltd. All rights reserved.
引用
收藏
页码：3087 / 3101
页数：15
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