-
You could use rel=nofollow on links pointing to pages variations.
-
If you can you could also dynamically add a meta noindex, no follow, when a variant of the initial page is generated.
-
You could also add a link rel=canonical pointing to the initial page, this will tell bots that this page is the original page.
In other word, you have to tell crawlers when it is a page variant and that you don't want him to index them.