From your description, it sounds like there is a break in the wire. If you can find where the break is by wiggling the cable, it can probably be repaired. Be sure to have the volume turned on low, however, so you don't damage the amplifier.
Many speaker systems use RCA style connectors (shown in the attachment). If it uses these, you can buy them at a local Radio Shack store (or online). You will also need some speaker wire (20 gage or 18 gage is best).
If you are able to do electronic soldering, you can make a replacement cord yourself. If not, and you know someone who can do it for you, it is an easy job.
That would be the most economical solution to fix your problem. If this doesn't work for you, you'll have to find out what kind of connectors are used on the cable and do an online search.
Good luck!