The Official Nintendo Magazine in the UK has released the names of the Battle Subway bosses.
Nobori, the boss dressed in black, gets the English name of Emmet. Emmet can be battled on the Green and Dark Green lines on the Battle Subway on the 21st and the 49th consecutive battles.
Kudari, the boss dressed in white, gets the English name of Ingo. Ingo can be battled on the Red and Pink lines on the 21st and the 49th consecutive battles.
They both can be battled in a tag battle on the Orange and Yellow lines.