I know I can use martial artists to describle people doing them. Is it possible to be more accurate while describing these athletes? So far I've found karateka /kəˈrɑːtɪkɑː/ but trying to look up the other major martial artists practicing kung fu, wushu, taekwondo was in vain.
Can I use compound nouns X martial artist as in kung fu martial artist to describe these athletes?
Then it came to me what a person doing aerobics is called. Any suggestion?