Abstract
The processes leading to strong distortion of the amplitude of a periodic flexural-gravity wave propagating in a fluid layer of finite depth beneath an infinite thin elastic plate are investigated. It is shown that three-wave resonance with noise harmonics of the flexural-gravity waves may lead to instability of a wave with the wave vector kw, where |kw|<kmin. Depending on |kw|, either two copropagating noise harmonics or two noise harmonics whose wave vectors make a nonzero angle with the vector kw may be most strongly amplified during the initial instants of time.
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