Thanks for the URL.
The image you were looking at in your URL was created with Adobe Flash.
Here are a couple link that might help you ...
Adobe Flash - Wikipedia, the free encyclopedia
ActionScript - Wikipedia, the free encyclopedia
I have found a tutorial for you about creating animated fire...
Animated Fire
It is not Adobe, but if want you can always buy the Adobe package.
The basic idea involved is first creating images of a flame.
Each image is slightly different (kind of like a cartoon).
Then you replace the images one at a time at the same screen location.
Hope this helps...