There is no singular art called 'bujutsu'.
Bujutsu 武術 literally means 'Martial Art' in Japanese, though the term is also used to indicate a distinction between koryu and gendai fighting systems.
That said, the clip you posted has absolutely nothing to do with bujutsu, whatsoever. Really, if you are looking for bujutsu, that is not what you will find.
From looking at the clip, I'd say thet practice a modern type of jujutsu geared towards MMA. Your best bet is posting that clip in the MMA forum here and mention you are looking for something like that. Forget about the bujutsu name because that is not going to help you.