It is shown how the solution for velocity potential may be determined when the effect of surface tension is included in the linearized theory of Ursell-type edge waves over a plane-sloping beach. The problem is examined without making a hydrostatic assumption. Explicit solutions for edge capillary-gravity waves are given and the dispersion equation is obtained. The influence of capillarity on gravity waves is discussed.
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Brief Report| March 17 2005
Edge capillary-gravity waves on a sloping beach
Sergey V. Muzylev;
Sergey N. Bulgakov;
Sergey V. Muzylev, Sergey N. Bulgakov, Matias Duran-Matute; Edge capillary-gravity waves on a sloping beach. Physics of Fluids 1 April 2005; 17 (4): 048103. https://doi.org/10.1063/1.1879052
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