This page describes the Katana Battle Style in each of the games in which it appeared.
Soulcalibur III
Many people may believe that this style is completely unoriginal. Those people are wrong. The main difference between this style and Mitsurugi's is that the style lacks a scabbard. Another main difference is that it uses a lot of grab moves after a sword swing. One of the moves (B+K) intiates an elbow charge which can be followed up with 2 upward sword swings and then a downwards swing.
The Katana discipline is represented by Arthur, and can be found in the Samurai and Sword Master classes. This style is available to both jobs by default.