Hi, and welcome to ARFCOM. I would say that you have three choices:
1. Ask them nicely and if they don't comply, call the police. (no cost solution-just cowboy up)
2. Buy a bigger stereo with a huge subwoofer, mount the speakers on the common wall, and play it while they are trying to sleep. When they complain, tell them you are willing to make them a deal. (definately the most fun)
3. Spend lots of time and money trying to block the noise they are causing. (probably futile)
Honestly, I don't think you will ever succeed in getting rid of it by adding soundproofing to your wall. Have you heard some of the "killer" auto sound systems that folks ride around with these days? You can still hear the bass from a block away after it has traveled through a block of air, through the walls of your home, and is still plenty loud.