文献类型：期刊文献

英文题名：Interaction of localized waves and dynamic behavior in a (3+1)-dimensional partial differential equation

作者：Ren, Bo[1];Lin, Ji[2];Yu, Jun[1]

机构：[1]Shaoxing Univ, Inst Nonlinear Sci, Shaoxing 312000, Peoples R China;[2]Zhejiang Normal Univ, Dept Phys, Jinhua 321004, Zhejiang, Peoples R China

年份：2020

卷号：34

期号：21

外文期刊名：MODERN PHYSICS LETTERS B

收录：SCI-EXPANDED(收录号：WOS:000557745200007)、、Scopus(收录号：2-s2.0-85085948963)、WOS

基金：This work is supported by the National Natural Science Foundation of China Nos. 11775146, 11835011 and 11975156.

语种：英文

外文关键词：(3+1)-dimensional partial differential equation; lump solution; lump soliton

外文摘要：A general third order of linear partial differential equation in (3 + 1) dimensions is studied by using the ansatz method. The lump solutions which localize in all directions in the whole (x, y, z)-space are derived by the ansatz method. Diversity interactions including interacted lumps with periodic waves, interaction between lumps and multi-soliton, and interaction among lumps, multi-soliton and periodic waves are obtained by selecting the arbitrary functions. The phenomena of interaction between a lump and one-kink soliton, interaction between a lump and periodic waves, and interaction among a lump, one-kink soliton and periodic waves are analyzed by the three-dimensional plots and contour plots. The results may enrich the existing lump solutions in the (3 + 1)-dimensional partial differential equations.