Journal of Fluid Mechanics

Nonlinear edge waves and shallow-water theory

A. A.  Minzoni a1
a1 Applied Mathematics, California Institute of Technology, Pasadena

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Nonlinear effects are considered for shallow-water edge waves on beaches with a general depth distribution. The case of uniform depth away from the shoreline is considered in detail. It is shown that the results obtained are in qualitative agreement with those obtained by Whitham (1976) using the full nonlinear theory for a beach of constant slope.

(Published Online March 29 2006)
(Received September 2 1975)