Localised Nonlinear Wave Interaction in the Generalised Kadomtsev-Petviashvili Equation

被引：22

作者：

Liu, Yaqing ^{[1
]}

Ren, Bo ^{[2
]}

Wang, Deng-Shan ^{[3
]}

机构：

[1] Beijing Informat Sci & Technol Univ, Sch Appl Sci, Beijing 100192, Peoples R China

[2] Shaoxing Univ, Inst Nonlinear Sci, Shaoxing 312000, Peoples R China

[3] Beijing Normal Univ, Sch Math Sci, Minist Educ, Lab Math & Complex Syst, Beijing 100875, Peoples R China

来源：

EAST ASIAN JOURNAL ON APPLIED MATHEMATICS | 2021年 / 11卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Generalised Kadomtsev-Petviashvili equation; tau-function formalism; waves interaction; SOLITON-SOLUTIONS; ROGUE WAVE; SCHRODINGER-EQUATION; CONSERVATION-LAWS; LUMP SOLUTIONS; BREATHERS; INSTABILITY;

D O I：

10.4208/eajam.290820.261020

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The Hirota bilinear scheme and tau-function formalism is used in the study of localised nonlinear wave interaction structures generated by the six-soliton solutions of the generalised Kadomtsev-Petviashvili equation. Employing different sets of parameters and the long wave limit method, we consider examples of interaction of various types of waves - viz. line solitons, breathers and lumps. The dynamics of the corresponding interaction is demonstrated graphically to visualise the type of actions. The results obtained may be helpful in understanding the wave propagation in liquids containing gas bubbles.

引用

页码：301 / 325

页数：25

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