I'm trying to lift the right side of my text, so it is similar to text in this logo:
I've tried different kinds of warps, but can't find the right one. Maybe I should be looking at another effect?
I ended up using Object -> Envelope Distort -> Make with Mesh, with the following result:
This is the desired effect (but needs some tweaking of course).
You can use "type on path" feature to create any wavy texts you want.