I resolved the problem.
I find mistake in swagger UI.
I use curl request: http://XX.XXX.XXX.XXX:XXXX/ari/channels/channelID/play/playbackId?media=sound:itemsound&lang=ru&api_key=username:pass
The request in swagger: http://XX.XXX.XXX.XXX:XXXX/ari/channels/channelID/play/id?media=media&api_key=username:pass