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Relationship between the observed and weakly-turbulent spectra of surface gravity waves

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The theory for weakly-turbulent surface gravity waves normally identifies some auxiliary function (weakly-turbulent spectrum) with the actual (observed) wave spectrum. In this paper, a general formula for the relationship between weakly-turbulent spectra and observed spectra is derived, and a numerical calculation is provided to show the difference between them. In particular, violation of the exponential nature and angular distribution of weakly-turbulent spectra is noted, along with the occurrence of secondary peaks. Quantitatively, the weakly-turbulent spectra differ insignificantly from the observed spectra.

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Translated by Vladimir A. Puchkin.

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Krasitsky, V.P., Panchenko, E.G. Relationship between the observed and weakly-turbulent spectra of surface gravity waves. Phys. Oceanogr. 5, 77–82 (1994).

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