If you go the 'play loud music' route, you might drag your stereo speakers over to the wall where the kids are on the other side - pushing the speakers right up against the wall.
Then place pillows against the back of the speakers - to muffle any sound coming out of the back of them.
This way, the music will go through the wall to the intended destination - not disturbing other innocent neighbors.
Music choice? I recommend opera. The kind where the lady screams on and on. Kids can't stand opera (neither can I).
Good Luck.
Regards,
Jim TX