A PIPER PA-31 ON LNDG ROLLOUT. ACFT ENCOUNTERED SEVERE VIBRATION AND COULD NOT CLR RWY. FOUND NOSE TIRE APPEARED MELTED BY SKYDROL OR JET FUEL CONTAMINATION.

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PREFLT WAS NORMAL WITH NOTHING ABNORMAL BEING NOTICED ON ANY AREA OR PART OF THE ACFT. ALL CHKLISTS WERE ACCOMPLISHED AS PER NORMAL. LNDG OR TOUCHDOWN WAS NORMAL; FULL FLAP LNDG AND ON CTRLINE UNTIL NOSE GEAR WAS LOWERED TO RWY. 1-2 SECONDS AFTER NOSE GEAR CONTACTED RWY; A SEVERE VIBRATION WAS NOTICED. I THOUGHT THAT STEERING LINKAGE BROKE OR THE SHIMMY DAMPENING DEVICE MALFUNCTIONED OR THE NOSEWHEEL WAS FLAT. I BRAKED TO A STOP ON THE RWY. MAIN GEAR STRADDLED CTRLINE WITH NOSE GEAR ABOUT 1 1/2 FT R OF CTRLINE WHEN ACFT CAME TO A STOP. I ADDED PWR SLIGHTLY AND IMMEDIATELY DETERMINED THAT THE PROB WAS A FLAT TIRE SO I THEN REDUCED PWR TO IDLE. DURING THE LNDG ROLL; TWR REQUESTED THAT I HURRY OFF OF THE RWY. I ADVISED THEM THAT I WOULD TRY. WHEN I FELT THAT I COULD NOT COMPLY WITH THEIR INSTRUCTIONS; I IMMEDIATELY NOTIFIED THEM AND TOLD THEM THAT I THOUGHT THAT I HAD A NOSEWHEEL TIRE THAT WAS FLAT AND COULD NOT TAXI CLR OF THE RWY. I NOTIFIED MAINT THAT I WAS ON THE RWY AND COULD NOT TAXI AND WOULD NEED TO BE TOWED OFF OF THE RWY. I ALSO NOTIFIED TWR THAT I HAD NOTIFIED MAINT AND THEY SAID THAT THEY WOULD HANDLE IT FROM HERE AND DIRECTED ME TO GND CTL. PAX STATED THAT THE LNDG WAS GOOD WITH ALL APPEARING NORMAL. MAINT/LINE MEN CAME OUT AND PUT ACFT ON A DOLLY AND THEN TOWED ACFT TO MAINT HANGAR. WHEN IN THE HANGAR; I INSPECTED THE NOSE GEAR AND WHEEL. IT APPEARED TO ME THAT THE ONLY DAMAGE WAS THE TIRE. A MECH INSPECTED THE TIRE AND QUESTIONED ME ON WHERE THE ACFT HAD BEEN PARKED. I TOLD HIM THAT I HAD PARKED IT ON THE FBO X AT ZZZ2 FOR ABOUT 30 MINS AND ON THE FBO Y RAMP AT ZZZ FOR ABOUT 1 1/2 HRS. I THEN ASKED HIM WHY. HE SAID THAT IT LOOKED LIKE THE TIRE HAD BEEN SUBJECTED TO SKYDROL OR JET FUEL AS THE TIRE APPEARED TO BE MELTED IN SPOTS. THOSE SPOTS WERE SOFT AND MUSH; NOT SCRAPE MARKS.