Hi, I think the basic curves of the pattern are the randomized cosine curve, but I have no idea how to conform the pattern with the vase itself. I mean the smooth rundown from the mountain to the valley, how could I do that?
I feel like you have being doing alot of vases recently 
You know, with the exception of the first squiggle, the valley between the ridges seem to bound the ridges with a straight-up vertical line. You can vaguely perceive this from the outside with the way light shadows a kink line. From the inside it is readily apparent. The ridges have a constant width where they meet the valley (the ridges being the dark negative figures). So do whatever you need to do to meet those edges and fillet them afterward. Maybe create a bunch of horizontal rules from the valley edge to the ridge edge and create a network surface, or some kind of ruled surface? Using the squiggle line and a vertical line with Edge Surface absolutely suffices!