Generation of Standing Edge Waves Through Nonlinear Subharmonic Resonance
G. E. Birchfield, Cyril J. Galvin, Jr., 1975. "Generation of Standing Edge Waves Through Nonlinear Subharmonic Resonance", Quantitative Studies in the Geological Sciences, E. H. Timothy Whitten
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Experimental and theoretical investigations of the generation of edge waves along a beach in the presence of gravity waves with crests parallel to the beach are presented. Subharmonic, resonant edge-wave generation is dependent on the beach slope and the period and amplitude of the primary wave. A simple, theoretical inviscid model which invokes the shallow-water approximation is studied. A standing wave with crests parallel to the coast and an edge-wave perturbation give rise to a Hill equation. Approximate determination of the stability properties indicates features similar to those observed in the experiments.