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

被引：4

作者：

Feng, Yexuan ^{[1
]}

Zhao, Zhonglong ^{[1
]}

机构：

[1] North Univ China, Sch Math, Taiyuan, Shanxi, Peoples R China

来源：

COMMUNICATIONS IN THEORETICAL PHYSICS | 2024年 / 76卷 / 02期

基金：

中国国家自然科学基金;

关键词：

lump solutions; generalized (3+1)-dimensional nonlinear differential equation; Hirota's bilinear method; quadratic function method; interaction solutions; WAVE SOLUTIONS; SOLITONS;

D O I：

10.1088/1572-9494/ad1a0d

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

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.

引用

页数：13

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