It has been demonstrated by the studies of Stokes (1847) and LeviCivita (1925) that surface waves of finite height which are irrotational and periodic can exist in a liquid under the influence of gravity. Furthermore, it was pointed out by Stokes that such waves produce a transport of mass in the direction of propagation and hence possess a certain horizontal momentum relative to the undisturbed water at great depths....
Starr, Victor P.. 1947. "A momentum integral for surface waves in deep water." Journal of Marine Research 6, (2). https://elischolar.library.yale.edu/journal_of_marine_research/631