J D 185 dies after about 30 min of run time.

I have a jd 185 lawn tractor with a Kawaski FC 540 engine. After about 30 min it shuts down like the ignition was shut off. wait about 10 min. and it will start back up. When it shuts down there is
no spark Could it be the ignition igniter? If so is the JD part # M70114?