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The long-short wave interactions between an internal gravity wave and a surface gravity wave packet in a two-layer fluid are investigated. When the phase speed of the internal wave coincides with the group velocity of the surface wave packet, a strong interaction occurs. The equations describing this interaction are derived both for a shallow (in comparison with a length scale of the long wave) fluid layer and for a deep one, and are studied numerically.
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Funakoshi et al. (1983) studied this question.
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