Interaction phenomenon and breather wave to the extend (3+1)-dimensional Kadomtsev-Petviashvili equation

被引：2
作者：
Chen, Wenxia [1 ]
Guan, Ru [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 | 2023年 / 518卷 / 01期
基金：
中国国家自然科学基金;
关键词：
KP equation; Breather solutions; Interaction solutions; Hirota bilinear form; ROGUE WAVE; BACKLUND TRANSFORMATION; SOLITON-SOLUTIONS; LUMP; INTEGRABILITY; BOUSSINESQ; SYMMETRIES;
D O I：
10.1016/j.jmaa.2022.126650
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we investigated the extend (3 +1)-dimensional Kadomtsev-Petviashvili (eKP) equation. Based on the Hirota direct method, we derived lump soliton solutions and breather solutions for eKP equation in the cases of z = x and z = y after dimension reduction. In the process of solving the equation, we all make use of Maple symbolic computation. At the same time, in order to further understand the dynamic behavior of these solutions, by choosing appropriate parameters, we give the plots of the solutions. (c) 2022 Elsevier Inc. All rights reserved.
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页数：11
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