Abstract
The interaction of capillary and gravity waves excited by wind on the surface of deep water is studied. It is shown that the essential difference of the spatial and time scales of these waves does not prevent their mutual interaction which may exert a strong influence on the surface pattern. In particular, this interaction is responsible for the appearance of irregular ripples on the surface of large-scale waves. It is shown that the formation of such ripples is the manifestation of the interaction of capillary and gravity waves. The theory of this phenomenon is developed, and analytical approaches are proposed for the prediction of the chaotic states arising.
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