600 watt five channel amp overheating/shutting off?

I have a 2003 Honda Goldwing 1800cc. I recently had a five channel amplifier installed along with a 10" woofer for base. The sound is awesome and very clear but the amp shuts off after only 20 minutes or so. I had everything installed by a stereo shop and they also did the custom work needed for the base box. The two are in separate locations and neither water or dirt are the culprits. The amp is located in one of the side boxes. The base box is in the top box and completely separate from vibration or heat.
I do appreciate any and all comments.

Because, at full power your amplifier is trying to pull 50 amps from your electrical system. You don't have anywhere near 50 amps of spare power. Watts are volts x amps. So watts / volts gives you current. 50 amps is a lot.

Its a Honda

If the unit is underpowered it will run hot.

Did you put in a more powerful stator to run all that electronic equipment?

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