Can different wyvern species breed together?
Solution 1:
You cannot breed Wyverns at all, regardless of their type (barring mods).
The wiki article on Wyvern Eggs states (emphasis mine)
Wyvern Eggs are only found in The World Scar near the blue and red obelisks
Although it states having a Wyvern makes it easier to get more eggs, this relates to their actual movement speed making it easier to steal eggs.
Messages boards confirm that you can't breed your own Wyverns.
In fact, at least one mod exists to add Wyvern Breeding.