Eye of the Storm

Tips
There is not much information out there relating peoples' successful strategies, but there are suggestions as to how people think you can beat it.

Of course, Sleeping seems to be a necessity. Preferably, Sleep, nuke, sleep, nuke, etc. Having 2 people alternating Sleep duties is suggested. Time your nukes so that everyone casts the same spell at the same time - this way there's no one still nuking as the sleeper's trying to Sleep them again. Since Wyverns are generally weak to Dark, Black Mage sleepers may have a bit more luck than a Bard.

However, a party did try this technique and got slaughtered. The Wyverns were slept fine, but when everyone started nuking they immediately killed the Sleeper. They managed to get them slept again though. When they nuked the second time, one of the Wyverns did a Paralyzga special that caused everyone to die. The group felt that the Wyverns got stronger as time passed - they hit harder, did more devastating specials, etc. That could just be conjecture, but worth noting.