In this paper, the Hirota bilinear method is applied to investigate the exact solutions of the (3+1)-dimensional Jimbo-Miwa (JM) equation, including solitons, breathers and lumps, which satisfy specific Wronskian conditions. Their dynamic behaviors and the effects of free parameters on the propagation direction and velocity are analyzed through three-dimensional images and the corresponding contour plots. Especially, based on the 2Mth-order Wronskian determinant solutions, the determinant expression of arbitrary Mth-order lump solutions is constructed by employing elementary transformation and long wave limit. The experimental results show that the interaction between multiple lumps is a completely elastic collision. These results may be helpful to understand the propagation processes of nonlinear waves in some nonlinear physical systems, such as fluid mechanics, nonlinear optics and so on.

在本文中，Hirota 双线性方法用于研究满足特定 Wronskian 条件的 (3+1) 维 Jimbo-Miwa (JM) 方程的精确解，包括孤子、呼吸器和团块。通过三维图像和相应的等高线图分析了它们的动态行为以及自由参数对传播方向和速度的影响。特别是，在2M阶Wronskian行列式解的基础上，利用初等变换和长波极限构造了任意M阶块解的行列式表达式。实验结果表明，多个块体之间的相互作用是完全弹性碰撞。这些结果可能有助于理解非线性波在某些非线性物理系统中的传播过程，