Plane ticket from China to Korea is different name than on passport.

I purchased a plane ticket in my new, married name...unfortunately not thinking that the name in my passport is still my maiden name. It is for a ticket from wuhan, china to South Korea. What should I do in this circumstance? Will the name on the ticket be able to be changed? If not, can I bring in a copy of my marriage certificate with my new name on it for proof?