My one piece elongated bowl toilets are filling for no apparent reason between flushes what can I do to fix the problem

Check to see if there is not a clog in the trap. This could keep your bowl from filling up. Also check the flapper and see if it is staying afloat in the tank long enough during the flush. Either of these could be the cause here.

The bowl is cracked and is leaking down the drain. You will have to replace it. It may have cracked if the bowl hold-down bolts were overtightened, or the bowl was not able to sit flush (pardon the pun) on the floor. If the bowl rocks when it is first installed, instead of tightening the hold-down bolts, use a couple of tapered shims under the edge of it, then caulk to fill the gap and hide the shims.
Good luck.

If this noise your hearing is water related and I talking inlet water filling the tank then the ballcock needs rebuilt or replaced.
Now if every toilet in the house is doing the same sounds then we are into a different scenario.

American Standard Town Square Series Toilet - Two-piece -$300
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Toto CST754SFN 1.6GPF ADA Compliant Two-Piece Elongated Toilet (Less Seat) -$330-520
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KOHLER K-3654-0 Persuade Two-Piece Elongated Toilet with Dual Flush Technology, Less Seat in White -$340
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Hello. Your lid has two buttons so you can do a half flush or a full flush. A water saving feature. Since the toilet is flushing by itself every hour or so, you must have a leaking flush valve. Replace the valve to solve that problem. Joe

so long as it is flushing it is fine. This brand of toilet does not have a large water area in the bowl.

Is the fill line in the tank loose? Does it just shoot water into the tank itself? I had this issue until I realized the while fill tube is supposed to be pushed into the black cylinder/small plastic tube in the middle of the stopper assembly. After i pushed the line into the tube, the bowl would always only fill a little bit. Now it fills almost a 3rd of the way up the bowl and doesn't bubble during flushes.

It sound like you have debris caught in the fill valve. Remove the top where the washer is and put your hand over it and slowly turn the water on to flush the fill valve. Replace the washer with a new one and then replace the top.

If you have the old ball and **** style, replaceing the diaphram is harder so I would recommend replacing it with a fluidmaster fill valve. Hope this helps.

Make a small mark with a pencil or marker that can be erased of were your water line is in your bowl. Pour some water from a bucket into the bowl SLOWLY and see if the water line rises or drops back down to your original mark. If it drop back to the original mark, then that is the way the toilet was made. You won't be able to do anything about it. If it rises and stays at a higher level, then you have a problem with the fill tube in the tank. You will need to call a Pro!

I fixed the problem. There was a clog in the pipes so i just flushe dthe pipes out.
thanks,
for your help