ACR ENCOUNTERS WAKE TURB AT 400 FT DURING INITIAL CLB AFTER TKOF.

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DURING CLBOUT AT 400 FT AGL; RECEIVED AURAL AND RED WINDSHEAR ALERT. ACCOMPLISHED ESCAPE MANEUVER AS PER ACFT MANUAL. OVERTEMPED BOTH ENGS FOR 10-15 SECONDS. SUSPECT WAKE TURB FROM ACFT THAT JUST DEPARTED AHEAD. ALL ENG PARAMETERS AND SYS WERE NORMAL DURING REMAINDER OF CLB. ADVISED TWR OF WINDSHEAR ALERT. ADVISED DISPATCH OF SIT AND CONTINUED TO DFW. CALLBACK CONVERSATION WITH RPTR REVEALED THE FOLLOWING INFO: RPTR INDICATED THAT THE ACFT TAKING OFF IMMEDIATELY AHEAD WAS A B737. IT WAS AT THE LIFTOFF POINT WHEN RPTR RECEIVED TKOF CLRNC. THERE ARE PARALLEL RWYS AT THIS ARPT BUT THEY WERE NOT BEING USED AT THE TIME SO WITH A QUARTERING HEADWIND OF APPROX 10 KTS THEY SHOULD NOT HAVE BEEN A FACTOR. NO SIGNIFICANT WX WAS IN THE AREA AND NO OTHER RPTS WERE MADE BY TWR OR OTHER ACFT. CREW PERFORMED THE WINDSHEAR ALERT RECOVERY PER COMPANY POLICY; EVEN THOUGH WHEN REVIEWING THE SIT ASSUMED THE ALERT WAS THE RESULT OF WAKE FROM THE B737. CREW ELECTED TO CONTINUE A SHORT 20 MIN FLT TO DEST WHICH WAS ALSO THEIR MAINT BASE. IT WAS DETERMINED THAT NO DAMAGE WAS DONE TO ENGS.