Pis'ma v Zhurnal Èksperimental'noi i Teoreticheskoi Fiziki
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Pis'ma v Zhurnal Èksperimental'noi i Teoreticheskoi Fiziki, 2011, Volume 93, Issue 12, Pages 782–786 (Mi jetpl1929)  
This article is cited in 36 scientific papers (total in 36 papers)

PLASMA, HYDRO- AND GAS DYNAMICS

Compact equation for gravity waves on deep water

A. I. Dyachenkoab, V. E. Zakharovacdb

a Landau Institute for Theoretical Physics, Russian Academy of Sciences
b Novosibirsk State University
c University of Arizona, Department of Mathematics
d P. N. Lebedev Physical Institute, Russian Academy of Sciences
Full-text PDF (173 kB) Citations (36)
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Abstract: Using the fact of vanishing four waves interaction for water gravity waves for 2D potential fluid we were able significantly simplify well-known but cumbersome Zakharov equation. Hamiltonian of the obtained equation is very simple and includes only fourth order nonlinear term. It rises the question about integrability of the free surface hydrodynamics. This new equation is very suitable as for analytic study as for numerical simulation.
Received: 11.05.2011
English version:
Journal of Experimental and Theoretical Physics Letters, 2011, Volume 93, Issue 12, Pages 701–705
DOI: https://doi.org/10.1134/S0021364011120058
Bibliographic databases:
Document Type: Article
Language: English
Citation: A. I. Dyachenko, V. E. Zakharov, “Compact equation for gravity waves on deep water”, Pis'ma v Zh. Èksper. Teoret. Fiz., 93:12 (2011), 782–786; JETP Letters, 93:12 (2011), 701–705
Citation in format AMSBIB
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\paper Compact equation for gravity waves on deep water
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\issue 12
\pages 782--786
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\jour JETP Letters
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\pages 701--705
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  • https://www.mathnet.ru/eng/jetpl/v93/i12/p782
    • This publication is cited in the following 36 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Письма в Журнал экспериментальной и теоретической физики Pis'ma v Zhurnal Иksperimental'noi i Teoreticheskoi Fiziki
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    Full-text PDF :137
    References:65
    First page:2
     
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