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Regular version of the site

Article

О СВЯЗИ ДРЕЙФА СТОКСА И ВОЛНЫ ГЕРСТНЕРА

Успехи физических наук. 2018. Т. 188. С. 329-334.
Абрашкин А. А., Пелиновский Е. Н.

It is shown in the quadratic approximation that the Gerstner wave vorticity is equal and of different sign to the vorticity of Stokes drift current in deep water. That gives an opportunity to interpret the Stokes wave as a superposition of the Gerstner wave and the Stokes drift and to explain, why the nonlinearity in the nonlinear Shrödinger (NLS) equation for the Gerstner wave is absent. The interpretation of the nonlinearity coefficient in the NLS equation as the Doppler shift of the frequency on the average throughout the vertical drift Stokes current is proposed.