Interaction phenomena between lump and solitary wave of a generalized (3+1)-dimensional variable-coefficient nonlinear-wave equation in liquid with gas bubbles  

作　　者：Jian-Guo Liu Wen-Hui Zhu Yan He Ya-Kui Wu 

机构地区：[1]College of Computer,Jiangxi University of Traditional Chinese Medicine,Jiangxi 330004,China [2]Institute of artificial intelligence,Nanchang Institute of Science and Technology,Jiangxi 330108,China [3]School of science,Jiujiang University,Jiangxi 332005,China

出　　处：《Communications in Theoretical Physics》2020年第8期18-26,共9页理论物理通讯（英文版）

基　　金：Project supported by National Natural Science Foundation of China(Grant No 81960715);Science and Technology Project of Education Department of Jiangxi Province(GJJ151079)。

摘　　要：In this paper, a generalized (3+1)-dimensional variable-coefficient nonlinear-wave equation is studied in liquid with gas bubbles. Based on the Hirota’s bilinear form and symbolic computation, lump and interaction solutions between lump and solitary wave are obtained,which include a periodic-shape lump solution, a parabolic-shape lump solution, a cubic-shape lump solution, interaction solutions between lump and one solitary wave, and between lump and two solitary waves. The spatial structures called the bright lump wave and the bright-dark lump wave are discussed. Interaction behaviors of two bright-dark lump waves and a periodic-shape bright lump wave are also presented. Their interactions are shown in some 3D plots.

关 键 词：solitary wave lump wave variable-coefficient nonlinear-wave equation interaction behaviors 

分 类 号：O411.1[理学—理论物理]