I'm going to respectfully disagree with Midcow. The SWS add-on subs are powered, but Raptor22 is asking if he can use a different sub. I believe that answer is yes.
Raptor22, you're wondering if the SWS link is just a normal subwoofer output. From what little I've read on the web, it does indeed appear to be that. You can help out by verifying if that SWS link jack is an RCA jack (it doesn't have to be for this to work, but it appears that it is from my reading). There are at least two options for connecting a separate powered subwoofer to your system:
1. Connect the SWS link output to the line-level input on a powered sub. With this, the volume level of the second sub will be controlled by the volume controls from your Ultra.
2. It looks like the Ultra takes three analog inputs (no digital inputs). So, hopefully that means that you have it connected to a sound card with three analog outputs. One of those outputs is for both the center channel and the subwoofer. That output can be split into those two channels, the subwoofer line can then be split into two feeds - one going to the second sub, the other one combining back with the center channel feed and going into the Ultra. That probably sounds much more complicated than it is. The downside to this is that the volume control for the Ultra won't affect the volume on the second sub.
The best option is #1, but if that doesn't work, we can easily talk you through option #2.
Adam
EDIT: You asked which types of subs were compatible. Any powered sub would be compatible, so you'd just be looking for a good powered sub under $200. For a computer system, that's totally doable. There should be options at your local chain stores, as well as online. The Dayton subs at partsexpress.com get some good press on this forum.