Tilda is an After Effects plugin from Denis Mozgovoy that turns any shape path into animated waves. It works with both Bézier and parametric paths — as of version 1.3, you can apply Tilda to a parametric path directly, without converting it to a Bézier path first.
A Random tab lets you add randomness to the length, height and roundness of the waves. Wave speed is expressed in pixels per second and depends only on the Speed parameter, so changing the wave length no longer alters the actual speed. The "Create on: Same Path" setting keeps a wave's expression referencing itself, even when the path is duplicated.
Tilda runs across After Effects versions 2020 through 2026, and support reaches back to CC 2019. A demo video is available on the developer's page. It earns its place in the aescripts library as a focused way to drive wave animation from existing shape paths.