I haven't bought into Wave yet, although it has more to do with the current UI than anything else. In addition to what's mentioned above, there are plugins for LaTeX, for rendering molecules, etc which make collaborative editing very powerful, potentially at least.
You could say that Wave is a bit like Email, Basecamp, Campfire, Etherpad, and a bunch of other collaboration tools, all merged into one unified interface. I'd be scared if I was 37-Signals. From everything I've heard, the feature Basecamp users most like is the discussion system... with Wave, that becomes a lot less worth paying for.