Hello Paul

I think the problem is the Hairy Ball Theorem:

[Hairy Ball Theorem](http://en.wikipedia.org/wiki/Hairy_ball_theorem)

And this comes from the standard formulation of any GLOBAL waves on 2-Sphere, however if you used wavelets with compact support or vanishing support (as t->infinity) then you have local waves (not global) and you might be able to find localized solutions.

That was why I was asking you to include e^-r^2 in your wave-forms.