Is sonic adventure 2 battle different from sonic adventure 2

SA2 is for the Dreamcast, while SA2B is for the GameCube.
SA2 has Big cameos in the level, SA2B does not.(SA2B only has cut scene cameos but so does SA2.)
SA2B has more 2 player stages than SA2.
SA2 allows you to put your chao in the VMU, SA2B allows you to put your chao in the Tiny Chao Garden.
SA2B has Chao Karate.
some chao world structure is different.(dark garden is TOTALLY different.)

There are more.