Recovery of Stokes waves from velocity measurements on an axis of symmetry

Abstract

We provide a new method to recover the profile of Stokes waves, and more generally of waves with smooth vorticity, from measurements of the horizontal velocity component on a vertical axis of symmetry of the wave surface. Although we consider periodic waves only, the extension to solitary waves is straightforward.

arXiv comment8 pages, to appear in J. Phys. A