Further study of the localized solutions of the (2+1)-dimensional B-Kadomtsev-Petviashvili equation

被引：21

作者：

Sun, Yong-Li ^{[1
]}

Chen, Jing ^{[2
]}

Ma, Wen-Xiu ^{[3
,4
,5
,6
]}

Yu, Jian-Ping ^{[7
]}

Khalique, Chaudry Masood ^{[5
]}

机构：

[1] Beijing Univ Chem Technol, Dept Math, Beijing 100029, Peoples R China

[2] Cent Univ Finance & Econ, Sch Stat & Math, Beijing, Peoples R China

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

[4] King Abdulaziz Univ, Dept Math, Jeddah, Saudi Arabia

[5] North West Univ, Int Inst Symmetry Anal & Math Modelling, Dept Math Sci, Mafikeng Campus,Private Bag X 2046, ZA-2735 Mmabatho, South Africa

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

[7] Univ Sci & Technol Beijing, Dept Appl Math, Beijing 100083, Peoples R China

来源：

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2022年 / 107卷

基金：

美国国家科学基金会; 中国国家自然科学基金;

关键词：

B-Kadomtsev-Petviashvili equation; M-lump solutions; Higher-order breathers; Hybrid solutions; LUMP SOLUTIONS; BACKLUND TRANSFORMATION; WAVE SOLUTIONS; INTEGRABILITY; CONSTRUCTION; SOLITONS;

D O I：

10.1016/j.cnsns.2021.106131

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the localized solutions of the (2+1)-dimensional B-Kadomtsev-Petviashvili (BKP) equation, which is a useful physical model, are further studied. Firstly, by using the theory of Hirota bilinear operator, the corresponding N-soliton solutions are obtained. Then the localized solutions, which are the M-lump solutions, higher-order breathers and hybrid solutions, are also constructed by taking a long-wave limit and introducing some conjugation conditions. In the meanwhile, the dynamic behaviors of these obtained solutions are analyzed and shown graphically by the corresponding numerical simulations with specific parameters, which can greatly affect the solutions, such as the propagation properties. (C) 2021 Elsevier B.V. All rights reserved.

引用

页数：11

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