Solutions of a three-component modified Kadomtsev-Petviashvili equation

被引：0
|
作者：
Sun, Lin [1 ]
Li, Chuanzhong [1 ]
Yuan, Chunxin [2 ]
Liu, Wei [3 ,4 ]
机构：
[1] Shandong Univ Sci & Technol, Coll Math & Syst Sci, Qingdao 266590, Shandong, Peoples R China
[2] Ocean Univ China, Sch Math Sci, Qingdao 266100, Shandong, Peoples R China
[3] Shandong Technol & Business Univ, Coll Math & Informat Sci, Yantai 264005, Shandong, Peoples R China
[4] Yantai Key Lab Big Data Modeling & Intelligent Co, Yantai, Shandong, Peoples R China
来源：
NONLINEAR DYNAMICS | 2025年 / 113卷 / 04期
基金：
中国国家自然科学基金;
关键词：
Three-component modified Kadomtsev-Petviashvili equation; tau-function; Kink solution; Table solution; SOLITON SOLUTIONS;
D O I：
暂无
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
In this paper, we mainly study the solutions of a three-component modified Kadomtsev-Petviashvili (mKP) equation onGrassmannian Gr(N,M). Its solutions are given by v(0)(x, y, t), v(1)(x, y, t) and v(2)(x, y, t). The structures of one soliton, Y-type, O-type and P-type solitons aremainly studied. After drawing analysis, it is found that there are only bright solitons in v(0), and there are bright solitons and dark solitons in v(1) and v(2). Then we discuss the reason why the kink solution and the table solution appear in the three-component modified Kadomtsev-Petviashvili equation.
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页码：3637 / 3654
页数：18
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