>>49391121Have you been under a rock for the last year or what? There are 8 fights like that, you calm a pokemon by throwing balms at it and at certain points you can use your mon to battle it. If you beat it the pokemon is still able to attack you but it's stuned for a while so you can throw more balms at it, and you can keep repeating this until the pokemon is completely calmed.
This special encounter only happens nine times in the whole game, and one of them is optional (you gotta do this to Dialga or Palkia in the main story, but then you can do it again with any of the two in the post game so you can "calm" the dragon you didn't calm the last time). The nine mons are Lord Kleavor, Lord Lilligant, Lord Arcanine, Lord Elecrode, Lord Avalugg, Azelf, Origin Dialga, Origin Palkia and Arceus