FEATURES OF NEAR-RESONANT TRIAD INTERACTIONS IN WAVES ON INTERMEDIATE DEPTH
Abstract
The article is dedicated to studying of nonlinear triad interactions features. Full resonance in such interactions occurs either for triads of frequencies or wavenumbers. For the other parameter mismatch will occur. There is no common opinion whether there is wavenumber or frequency mismatch in waves propagating on intermediate depth. In this work it is shown that mismatch occurs for wavenumbers. Possibility of prediction of spatial periodicity of energy exchange between wave harmonics was also studied. It was found that beat length can be predicted with linear dispersion relation for the relative depth exceeding 0.05. For depths less than 0.05 beat length can be assessed with nonlinear dispersion relation which accounts for wave steepness.
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