Focusing of nonlinear wave groups in deep water |
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| Authors: | C. Kharif E. Pelinovsky T. Talipova A. Slunyaev |
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| Affiliation: | (1) Institut de Recherche sur les Phenomenes Hors Equilibre, Parc Scientifique et Technologique de Luminy, 13288 Marseille, Cedex 9, France;(2) Laboratory of Hydrophysics and Nonlinear Acoustics, Institute of Applied Physics, Russian Academy of Sciences, ul. Ul’yanova 46, Nizhni Novgorod, 603600, Russia |
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| Abstract: | The freak wave phenomenon in the ocean is explained by the nonlinear dynamics of phase-modulated wave trains. It is shown that the preliminary quadratic phase modulation of wave packets leads to a significant amplification of the usual modulation (Benjamin-Feir) instability. Physically, the phase modulation of water waves may be due to a variable wind in storm areas. The well-known breather solutions of the cubic Schrödinger equation appear on the final stage of the nonlinear dynamics of wave packets when the phase modulation becomes more uniform. |
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