There are 6 series of Baki. This is the second one.

1-Baki the Grappler (1991 - 1999) 42 volumes
2-New Grappler Baki (1999 - 2005) 31 volumes
3-Hanma Baki: Son of Ogre (2005 - 2012) 37 volumes
4-Baki-Dou (2014 - 2018) 22 volumes
5-Baki-Dou (2018 - 2023) 17 volumes
6-Baki Rahen (2023 -)

Baki Hanma is a generally happy student with a rather odd hobby; he likes fighting. Specifically, he likes fighting in a secret martial arts tournament that gathers the greatest fighters of the world and pits them against each other in really nasty combat. New Grappler Baki takes off where the original series leaves off. As the new tournament champion, he's generally taken it easy until he recieves the news of five deadly, murderous, martial artist who have escaped their prisons and are now headed to Japan. Baki and his friends must deal with them before they are killed themselves. New Grappler Baki introduces new characters, new techniques, and begins to resolve the conflict between Baki and his father.