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Focusing of nonlinear wave groups in deep water

  • Nonlinear Dynamics
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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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Authors and Affiliations

  1. Institut de Recherche sur les Phenomenes Hors Equilibre, Parc Scientifique et Technologique de Luminy, 13288, Marseille, Cedex 9, France

    C. Kharif

  2. Laboratory of Hydrophysics and Nonlinear Acoustics, Institute of Applied Physics, Russian Academy of Sciences, ul. Ul’yanova 46, Nizhni Novgorod, 603600, Russia

    E. Pelinovsky, T. Talipova & A. Slunyaev

Authors
  1. C. Kharif
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  2. E. Pelinovsky
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  3. T. Talipova
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  4. A. Slunyaev
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Additional information

From Pis’ma v Zhurnal Éksperimental’no\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) i Teoretichesko\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) Fiziki, Vol. 73, No. 4, 2001, pp. 190–195.

Original English Text Copyright © 2001 by Kharif, Pelinovsky, Talipova, Slunyaev.

This article was submitted by the authors in English.

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Kharif, C., Pelinovsky, E., Talipova, T. et al. Focusing of nonlinear wave groups in deep water. Jetp Lett. 73, 170–175 (2001). https://doi.org/10.1134/1.1368708

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  • DOI: https://doi.org/10.1134/1.1368708

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