Undervoltage lockout is more common. I would be interested in knowing what the voltage regulator chip is in the AMP.
13.8 V is considered normal. I'd also like to know what AC voltage you have in the electrical system.
15 V does sound a little high and could provoke other electrical problems down the road. I would urge you to get the electrical system, evaluated. I think you may have a blown diode in the alternator.
Now back to our originally scheduled program:
You can use a bridge recitifier such as this one:
Amazon.com: 400V 25A Bridge Rectifier: Electronics and connect the positive terminal to power in of the amp and the (-) terminal to the AMP. It will reduce the voltage about 2 diode drops or 1.2 Volts.
Th bridge probably will require heat sinking. Mount to metal with thermal grease.
Radio-Shack may have something too.
You can also try connecting the amp to one of the (~) terminals (The one that works). It will reduce the voltage to about 0.6 V or so.
Bear in mind that this is a very non-standard application and someone might look at you funny.