Abstract

On the basis of critical analysis of literature it is shown that the existing theory of surface gravity waves is incorrect and contradictory. Based on  the new results published by the author dispersive equation for linear waves generated on the surface of tangential discontinuity between air and water was obtained.  It is demonstrated that this equation is applicable only to capillary waves and effect of gravitational filed can be neglected in it. Thus, it is impossible to speak about capillary-gravitational waves in linear theory and consequently there is no condition restricting length of capillary wave.  Contrastingly to the wide-spread opinion according to which capillary waves are generated only in deep water, it is demonstrated that they can be generated in shallow water as well where the phase speed of wave depends on the depth of water reservoir.

This work is licensed under a Creative Commons Attribution 4.0 License.