New lump solutions and several interaction solutions and their dynamics of a generalized(3+1)-dimensional nonlinear differential equation  

作　　者：Yexuan Feng Zhonglong Zhao 

机构地区：[1]School of Mathematics,North University of China,Taiyuan,Shanxi 030051,China

出　　处：《Communications in Theoretical Physics》2024年第2期1-13,共13页理论物理通讯（英文版）

基　　金：supported by the National Natural Science Foundation of China(Nos.12101572,12371256);2023 Shanxi Province Graduate Innovation Project(No.2023KY614);the 19th Graduate Science and Technology Project of North University of China(No.20231943)。

摘　　要：In this paper,we mainly focus on proving the existence of lump solutions to a generalized(3+1)-dimensional nonlinear differential equation.Hirota’s bilinear method and a quadratic function method are employed to derive the lump solutions localized in the whole plane for a(3+1)-dimensional nonlinear differential equation.Three examples of such a nonlinear equation are presented to investigate the exact expressions of the lump solutions.Moreover,the 3d plots and corresponding density plots of the solutions are given to show the space structures of the lump waves.In addition,the breath-wave solutions and several interaction solutions of the(3+1)-dimensional nonlinear differential equation are obtained and their dynamics are analyzed.

关 键 词：lump solutions generalized(3+1)-dimensional nonlinear differential equation Hirota's bilinear method quadratic function method interaction solutions 

分 类 号：O175.29[理学—数学]