In the series, a number of different styles are shown among the different characters. Some fight using their Zanpakutō, others use Kidō. Do all of these derived from a similar source? Are there other fighting styles? Can they be combine?
There are four fighting styles a Shinigami uses are:
Zanjutsu (Weapon arts) -- The art of using their weapon to it's full potential.
Hakuda (Martial arts) -- The art of physical power and melee fighting skills.
Hohou (Movement arts) -- The art of moving, dodging, and countering.
Kidou (Magic arts) -- The art of using spells and magic.
They are often used in combination with one another in battle.