文献类型：期刊文献

英文题名：Localised Nonlinear Wave Interaction in the Generalised Kadomtsev-Petviashvili Equation

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

年份：2021

卷号：11

期号：2

起止页码：301

外文期刊名：EAST ASIAN JOURNAL ON APPLIED MATHEMATICS

收录：SCI-EXPANDED(收录号：WOS:000622342700005)、、Scopus(收录号：2-s2.0-85103007867)、WOS

基金：This work is supported by the National Natural Science Foundation of China (Grant Nos. 11905013, 11971067, 11775146, 11772063), by the Scientific Research Common Program of Beijing Municipal Commission of Education (Grant No. KM201911232011), by the Fundamental Research Funds for the Central Universities (Grant No. 2020NTST22), by the Beijing Great Wall Talents Cultivation Program (Grant No. CIT&TCD20180325), and by the Qin Xin Talents Cultivation Program of Beijing Information Science and Technology University (Grant No. QXTCP A201702).

语种：英文

外文关键词：Generalised Kadomtsev-Petviashvili equation; tau-function formalism; waves interaction

外文摘要：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.