Does the N-Dimensional Wave Equation Apply Beyond 1-2 Dimensions?

[droz]

I Looked around the web for a while and had not found anything so I figured I'd ask you all about this. It's been awhile since I took a PDE course, but given your standard homogeneous /\u = 0 wave equation, does it scale above and beyond the typical 1-2 dimensional cases? If so, what are some common applications?

 

[nicksauce]

The n dimensional wave equation is given by

$$\frac{\partial^2 U}{\partial t^2} = c^2\nabla^2U$$

Common applications? I assume there are many applications for spherical waves / spherical harmonics, but that's all I can think of.