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Pis'ma v Zhurnal Èksperimental'noi i Teoreticheskoi Fiziki, 2001, Volume 73, Issue 4, Pages 190–195 (Mi jetpl4318)  
This article is cited in 58 scientific papers (total in 58 papers)

NONLINEAR DYNAMICS

Focusing of nonlinear wave groups in deep water

C. Kharifa, E. Pelinovskyb, T. Talipovab, A. Slunyaevb

a Institut de Recherche sur les Phenomenes Hors Equilibre, Parc Scientifique et Technologique de Luminy
b Laboratory of Hydrophysics and Nonlinear Acoustics, Institute of Applied Physics, Russian Academy of Sciences, Nizhnii Novgorod
Full-text PDF (289 kB) Citations (58)
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 the 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 Schrodinger equation appear on the final stage of the nonlinear dynamics of the wave packets, when the phase modulation becomes more uniform.
Received: 08.11.2000
Revised: 15.01.2001
English version:
Journal of Experimental and Theoretical Physics Letters, 2001, Volume 73, Issue 4, Pages 170–175
DOI: https://doi.org/10.1134/1.1368708
Bibliographic databases:
Document Type: Article
PACS: 47.35.+i, 92.10.Hm, 92.60.Dj
Language: English
Citation: C. Kharif, E. Pelinovsky, T. Talipova, A. Slunyaev, “Focusing of nonlinear wave groups in deep water”, Pis'ma v Zh. Èksper. Teoret. Fiz., 73:4 (2001), 190–195; JETP Letters, 73:4 (2001), 170–175
Citation in format AMSBIB
\Bibitem{KhaPelTal01}
\by C.~Kharif, E.~Pelinovsky, T.~Talipova, A.~Slunyaev
\paper Focusing of nonlinear wave groups in deep water
\jour Pis'ma v Zh. \`Eksper. Teoret. Fiz.
\yr 2001
\vol 73
\issue 4
\pages 190--195
\mathnet{http://mi.mathnet.ru/jetpl4318}
\transl
\jour JETP Letters
\yr 2001
\vol 73
\issue 4
\pages 170--175
\crossref{https://doi.org/10.1134/1.1368708}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-0001353907}
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    • This publication is cited in the following 58 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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