On the line-soliton solutions of a coupled modified Kadomtsev-Petviashvili system in two-layer shallow water

被引：1

作者：

Li, Conghui ^{[1
]}

Li, Chuanzhong ^{[1
]}

Wang, Gang ^{[2
]}

Liu, Wei ^{[3
]}

机构：

[1] Shandong Univ Sci & Technol, Coll Math & Syst Sci, Qingdao 266590, Shandong, Peoples R China

[2] Hohai Univ, Key Lab, Minist Educ Coastal Disaster & Protect, Nanjing 210098, Peoples R China

[3] Shandong Technol & Business Univ, Coll Math & Informat Sci, Yantai 264005, Peoples R China

来源：

CHAOS SOLITONS & FRACTALS | 2024年 / 181卷

基金：

中国国家自然科学基金;

关键词：

Coupled modified KP equation; Coupled soliton solution; Tau-function; Grassmannian manifold; Le-diagram; Chord diagram; EQUATIONS; MKP;

D O I：

10.1016/j.chaos.2024.114734

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, the line-soliton solutions of a coupled modified Kadomtsev-Petviashvili (MKP) equation are studied. Based on the tau-functions and Grassmannian Gr ( N, M ) , we present and study the coupled modified Kadomtsev-Petviashvili equation and its coupled soliton solutions v and O which can describe two layers shallow water. By giving examples and theoretical analysis, we give a general classification of the structures of coupled soliton solutions v and O. At the same time, we describe the solutions v, O by Le-diagram, chord diagram and analyze the influence of parameter e on the solutions v, O.

引用

页数：12

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