Men/Man Going Their Own Way.
MGTOW is basically the statement of self-ownership and saying that only you have the right to decide what your goals in life should be.
It is saying that, as a man I will not surrender my will to the social expectations of women and society, because both have become hostile against masculinity.
Male 1: Dude, why don't you have a girl friend?
Male 2: Its not for me bro, I'm a MGTOW.