Abstract
Abstract. Parametric excitation of edge waves with a frequency 2 times less than the frequency of surface waves propagating perpendicular to the inclined bottom is investigated in laboratory experiments. The domain of instability on the plane of surface wave parameters (amplitude–frequency) is found. The subcritical instability is observed in the system of parametrically excited edge waves. It is shown that breaking of surface waves initiates turbulent effects and can suppress the parametric generation of edge waves.
Highlights
The study of parametric excitation of waves with half of their external frequency has a long history
In the first approximation of nonlinearity, surface waves described by Eq (8) can generate edge waves described by Eq (6) if ≈ ω/2
The parametric edge wave excitation is studied for different regimes of surface wave propagation
Summary
The study of parametric excitation of waves with half of their external frequency has a long history. After Faraday, such parametric excitation of waves was observed in hydrodynamics (Douady, 1990; Cerda and Tirapegui, 1998), plasma physics (Okutani, 1967; Kato et al, 1965), chemically active media (Fermandez-Garcia et al, 2008), and other systems. Surface waves approaching the shore from the open sea with a frequency of can excite the so-called edge waves with a frequency of /2. The correlation between characteristics of edge waves and spectra of surface waves approaching the shore is studied in situ (Huntley and Bowen, 1978). This kind of study is hard for analysis and interpretation of the results due to the irregularity of the coastline and the complex spectra of the approaching surface waves.
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