Lump and interaction solutions to a (3+1)-dimensional BKP-Boussinesq-like equation

被引：0

作者：

Yang, Xiyan ^{[1
]}

Tang, Liangping ^{[1
]}

Gu, Xinyi ^{[1
]}

Chen, Wenxia ^{[1
]}

Tian, Lixin ^{[1
]}

机构：

[1] Jiangsu Univ, Fac Sci, Nonlinear Sci Res Ctr, Zhenjiang 212013, Jiangsu, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2025年 / 543卷 / 02期

关键词：

BKP-Boussinesq-like equation; Hirota bilinear method; Lump solutions; RATIONAL SOLUTIONS; BACKLUND TRANSFORMATION; SOLITON-SOLUTIONS; SYMMETRIES;

D O I：

10.1016/j.jmaa.2024.129030

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper analyzes the (3+1)-dimensional BKP-Boussinesq-like equation, which is widely used to describe and understand nonlinear wave phenomena. We extend Hirota's bilinear method and obtain the generalized bilinear operator. When the prime number p = 3, the generalized bilinear form of BKP-Boussinesq-like equation is constructed. Based on its bilinear expression, we explore the lump and lumpsoliton solutions to the equation, and analyze the dynamic characteristics and properties of soliton solutions with plots. (c) 2024 Elsevier Inc. All rights are reserved, including those for text and data

引用

页数：10

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