Pretty much 20% info up there is wrong/missing.
All pets with buff use same pattern.(Except Charlotte with self buff)
So it'd go like: round 1-2-3 use the buff on other pets and def when fires attack
who you can burst this way: Victoria, Sam, Xaolan, Magellan.
Pets with debuff: round 1-2-3 def round 4 assist round 5 def/assist again
Who you can burst this way: Shizune, Eva, Qlaya, ShaSha, the monkey(yes, burstable XD).
Warning: Kanako, Angela and Niss don't burst, their skils are just hp/sp increaser, not XP increaser as well.