Considering this is a game...without Waves, a Wavemaster would be unable to channel aether into whatever effect their wave produces. As a weapon Waves can have various abilities etc as aether is a force found in cosmic, elemental, and spiritual phenomena etc. In general Wavemasters as a class, use aether to augment their physical capabilities by increasing strength, speed etc. When they attack "aether" is formed into the force given by the Waves which are attached to the PCs as a conduit.

Attacks by Wavemasters normally involve an aura being visible when they strike or that kind of thing. IE: Stardust flying all over or a thunderous roar of energy etc.

I'm working on my character as we speak, maybe as he is further edited you'll get an even better understanding.