Lump solutions are empirical rational function solutions found in all directions in space. One of the essential solutions to both linear and nonlinear partial differential equations is lump solutions. The current work studies a class of lump interaction phenomena to the generalized (3+1)$(3+1)$$(3+1)$-dimensional nonlinear-wave equation with time-dependent-coefficient. Variable-coefficient nonlinear partial differential equations offer us with more real aspects in the inhomogeneities of media and nonuniformities of boundaries than their counterparts constant-coefficient in many physical cases. The Hirota bilinear form is the fundamental concept that has been used to derive the novel lump-periodic and breather wave solutions. The acquired solutions are constructed using symbolic computations called Maple. The physical characteristics of the acquired solutions are shown with three-dimensional and contour plots in order to shed more light on the acquired novel solutions.

集总解是在空间各个方向上找到的经验有理函数解。线性和非线性偏微分方程的基本解之一是集总解。目前的工作研究了一类广义的块相互作用现象( 3 + 1 )$（3+1）$$(3+1)$具有时间相关系数的维非线性波动方程。在许多物理情况下，变系数非线性偏微分方程为我们提供了比常数系数方程更真实的介质不均匀性和边界不均匀性方面的信息。广田双线性形式是用于推导新颖的块周期和呼吸波解的基本概念。获得的解决方案是使用称为 Maple 的符号计算构建的。所获得的解决方案的物理特性以三维图和等高线图显示，以便更多地了解所获得的新颖解决方案。