You wont be able to connect your Wave to Google Home, without Chromecast audio, which plugs in to the AUX input. This will allow you to connect your Google Home and play music through the speaker.
Regarding Amazon Alexa...you can connect that via Bluetooth.
The only downside of either of these connecttions is that, currently, you can't stop your device from switching off after a period of inactivity. The only workaround to that is with Alexa, you can just ask to reconnect. There isn't a workaround to Google Home/Chromecast that I found.
Hopefully, it wont be long until the Bose Alexa skill is released, which will overcome a lot of hurdles.