AN MD80 ON LNDG EXPERIENCED SEVERAL R ENG COMPRESSOR STALLS. ACFT INSPECTED ON TXWY FOUND NO DAMAGE; TAXIED TO GATE.

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ZZZ TWR SQUEEZED IN A B767 HVY TKOF BTWN US AND THE RJ ARR THAT PRECEDED US INTO RWY 28L ZZZ. THE B767 LIFTED OFF WHEN WE WERE JUST BELOW 150 FT AFL; AND OUR ATTEMPTS TO CONFIRM LNDG CLRNC WERE BLOCKED DUE TO HVY FREQ CONGESTION. FO WAS PF. TOUCHDOWN WAS NORMAL AND WITHIN TOUCHDOWN ZONE. AFTER REVERSE THRUST WAS APPLIED; WITH A MAX OF 1.4 OBSERVED ON THE R ENG; WE HEARD WHAT SEEMED TO BE SEVERAL LOUD 'POPS' COMING FROM THE R SIDE OF ACFT. INITIALLY; WE THOUGHT IT MIGHT BE A TIRE PROB; BUT AS WE EXITED THE RWY; ANOTHER ACFT ON THE FREQ RPTED TO TWR THAT THEY HAD SEEN FLAMES COMING OUT THE AFT PART OF THE R ENG. WE MAINTAINED OUR POS ON THE TXWY CLR OF THE RWY; SHUT DOWN THE R ENG AND REQUESTED ARFF PERSONNEL INSPECT THE ACFT; INCLUDING LNDG GEAR. WE DID NOT OBSERVE ANY ABNORMAL ENG INDICATIONS DURING THE LNDG ROLL OR AFTER CLRING THE RWY; BUT IT SHOULD BE NOTED THAT OUR ATTN WAS NOT INSIDE THE COCKPIT DURING SHORT FINAL AND INITIAL TOUCHDOWN AND ROLLOUT; MAINLY BECAUSE A GAR WAS BEING CONTEMPLATED DUE TO NOT BEING ABLE TO CONFIRM LNDG CLRNC. AFTER LNDG; FLT ATTENDANTS CONTACTED THE COCKPIT TO ADVISE NOISE AND VIBRATION FELT IN CABIN. A PA WAS MADE TO REASSURE PAX AND ADVISE EMER EQUIP WOULD BE ARRIVING AS A PRECAUTION TO INSPECT ACFT. FO SPOKE TO ARFF PERSONNEL ON A DISCRETE FREQ. THEY CONFIRMED THAT NO ACFT DAMAGE WAS VISIBLE AND ESCORTED US TO GATE. I SPOKE TO FIRE CHIEF AND ARPT OPS PERSONNEL ON THE RAMP; WHO SAID THE ENG NOISE WAS VERY LOUD AND WAS HEARD BY MANY ON THE GND. ENTERED IN MAINT LOGBOOK AS A POSSIBLE COMPRESSOR STALL ON LNDG ROLLOUT WHEN REVERSE APPLIED.