ACR LANDS AT MMUN; FO; AND LEAVES TWR FREQ WITHOUT DIRECTION ONLY TO FIND NO ONE ON GND CTL. GND CTL IS CHARTED AS PART TIME.

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AFTER LNDG AND EXITING THE RWY; CTL TWR (ON CTL TWR FREQ) CLRED US TO THE PARKING GATE. NO DIRECTION FROM TWR WAS GIVEN TO REMAIN ON TWR FREQ OR SWITCH TO GND CTL. I SWITCHED TO GND CTL AFTER LEAVING THE RWY AND MADE 2 ATTEMPTS TO CONTACT GND CTL. I NEVER RECEIVED AN ANSWER. I SWITCHED BACK TO TWR FREQ TO ATTEMPT CONTACT AND THE TWR AT THIS TIME WAS VERY BUSY WITH AIR TFC. NOW THE QUESTION OF POSSIBLY MISSING A GND CTL CALL OR STAYING ON TWR FREQ AROSE. AT THIS TIME WE WERE PARKING AT THE GATE. CANCUN TWR SENT A REPRESENTATIVE TO OUR ACFT TO INFORM US THAT THE TWR TRIED TO CALL US ON TWR FREQ AND WE DID NOT RESPOND. HE SAID THAT CANCUN DOES NOT USE GND CTL FREQ AFTER XA00Z. A REVIEW OF BOTH CLASS I AND THE INTL NOTAMS FOR CANCUN; MEXICO; SHOWS NOTHING IN REF TO THIS. NO INFO ABOUT NON USE OF GND CTL AFTER XA00Z WAS FOUND ON THE COMMERCIAL APCH CHARTS AS WELL. FACTORS ARE A FAILURE TO COMMUNICATE. CORRECTIVE ACTION IS AND WILL BE TO ADD THIS INFO ON THE COMMERCIAL CHARTS; 10-10 INFO PAGE; 10-11 INFO PAGE; AND PLACE THIS INFO IN THE NOTAMS AND FLT DEP PAPERS.