Become a MacRumors Supporter for $50/year with no ads, ability to filter front page stories, and private forums.
How did you transfer it? Did you try re-installing it from the installation discs? Adobe puts a lot of stuff in the application support folder inside the library (root one, I think), and their apps won't run without those files.
 
I'm kind of lost. What did you get when you bought it electronically? An install image file? Did you not keep a copy of the file? Can you contact them and ask to be given the file again to use with your license?
 
Adobe allows you to redownload your install images if you go view your order history on their site.
 
Register on MacRumors! This sidebar will go away, and you'll see fewer ads.