New lump solutions to a (3+1)-dimensional generalized Calogero-Bogoyavlenskii-Schiff equation

被引：30

作者：

Zhou, Yuan ^{[1
]}

Zhang, Xiaojing ^{[1
]}

Zhang, Chao ^{[1
]}

Jia, Junjing ^{[1
]}

Ma, Wen-Xiu ^{[2
,3
,4
,5
]}

机构：

[1] Xianda Coll Econ & Humanities Shanghai Int Studies, Sch Data Sci, 390 Dongtiyuhui Rd, Shanghai 200083, Peoples R China

[2] Zhejiang Normal Univ, Dept Math, Jinhua 321004, Peoples R China

[3] King Abdulaziz Univ, Dept Math, Jeddah 21589, Saudi Arabia

[4] Univ S Florida, Dept Math & Stat, Tampa, FL 33620 USA

[5] North West Univ, Sch Math & Stat Sci, Mafikeng Campus, Potchefstroom, South Africa

来源：

APPLIED MATHEMATICS LETTERS | 2023年 / 141卷

关键词：

Lump solutions; The Hirota method; Generalized CBS equation; Symbolic computation; KADOMTSEV-PETVIASHVILI EQUATION; MULTIPLE-SOLITON-SOLUTIONS; KINK SOLUTIONS; JIMBO-MIWA;

D O I：

10.1016/j.aml.2023.108598

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The aim of this paper is to show the existence of three-wave lump solutions to a (3+1)-dimensional generalized CBS (gCBS) equation. Based on the Hirota method, the quadratic functions of the form f = f12 + f22 + f32 + d with nondegenerate condition are applied to solve the corresponding bilinear equation and to generate lump solutions to the gCBS equation. We present two examples of such nonlinear equations and their lump solutions. Moreover, 3-dimensional plots and contour plots are exhibited for three reduced lump solutions.(c) 2023 Elsevier Ltd. All rights reserved.

引用

页数：10

共 50 条

[1] The Calogero-Bogoyavlenskii-Schiff equation in 2+1 dimensions [J].