I think there are two major differences between STOBAR and CATOBAR carrier fighters. The latter has provision for a nose landing gear attachment to the catapult, as well as additional structural strengthening horizontally to endure the stresses of a catapult launch.
I wonder if the next J-15 variant will seek to be made CATOBAR capable. It actually makes a bit of sense -- the structural modifications shouldn't be too strenuous, d.
the most strenuous on the airframe is always the landing part. basically the sinkrate of about 200-300 m/s
nose landing gear cat launch is nothing compare to those loads.