Three-dimensional Gouyon waves

Three-dimensional steady-state periodic waves in deep water with weak (of order of the wave amplitude) vorticity are considered. The solution describing the wave properties is constructed by the perturbation theory method in modified Lagrangian coordinates. The wave structure and dispersion properties are found correct to the square of the wave amplitude.Moscow. Translated from Izvestiya Rossiiskoi Akademii Nauk, Mekhanika Zhidkosti i Gaza, No. 4, pp. 125–130, July–August, 1996.