1991 ZX750 acceleration problems

Hi guys I am new to all this so thanks in advance 
I got myself a 1991 zx750 and i am experiencing a shuddering/retarding on heavy acceleration (half throttle throught to full throttle)
I have pulled the tank off and noticed no air box and having done some googling i am coming to a conclusion that it is a MUST for this model to have a air box.
Is this true? is there a way around this problem?
any advice to fix this problem would be appreciated even any leads into getting a airbox would be good
i can post some pics if required...
thanks george

I got myself a 1991 zx750 and i am experiencing a shuddering/retarding on heavy acceleration (half throttle throught to full throttle)
I have pulled the tank off and noticed no air box and having done some googling i am coming to a conclusion that it is a MUST for this model to have a air box.
Is this true? is there a way around this problem?
any advice to fix this problem would be appreciated even any leads into getting a airbox would be good

i can post some pics if required...
thanks george