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Pis'ma v Zh. Èksper. Teoret. Fiz., 2011, Volume 93, Issue 4, Pages 213–216 (Mi jetpl1834)  

This article is cited in 1 scientific paper (total in 1 paper)

PLASMA, HYDRO- AND GAS DYNAMICS

Numerical study of Fermi-Pasta-Ulam recurrence for water waves over finite depth

V. P. Ruban

L. D. Landau Institute for Theoretical Physics, Russian Academy of Sciences

Abstract: Highly accurate direct numerical simulations have been performed for two-dimensional free-surface potential flows of an ideal incompressible fluid over a constant depth $h$, in the gravity field $g$. In each numerical experiment, at $t=0$ the free surface profile was in the form $y=A_0\cos(2\pi x/L)$, and the velocity field $\mathbf v=0$. The computations demonstrate the phenomenon of Fermi-Pasta-Ulam (FPU) recurrence takes place in such systems for moderate initial wave amplitudes $A_0\lesssim 0.12 h$ and spatial periods at least $L\lesssim 120 h$. The time of recurrence $T_{\mathrm{FPU}}$ is well fitted by the formula $T_{\mathrm{FPU}}(g/h)^{1/2}\approx 0.16(L/h)^2(h/A_0)^{1/2}$.

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English version:
Journal of Experimental and Theoretical Physics Letters, 2011, 93:4, 195–198

Bibliographic databases:

Document Type: Article
Received: 15.12.2010
Revised: 14.01.2011
Language: English

Citation: V. P. Ruban, “Numerical study of Fermi-Pasta-Ulam recurrence for water waves over finite depth”, Pis'ma v Zh. Èksper. Teoret. Fiz., 93:4 (2011), 213–216; JETP Letters, 93:4 (2011), 195–198

Citation in format AMSBIB
\Bibitem{Rub11}
\by V.~P.~Ruban
\paper Numerical study of Fermi-Pasta-Ulam recurrence for water waves over finite depth
\jour Pis'ma v Zh. \`Eksper. Teoret. Fiz.
\yr 2011
\vol 93
\issue 4
\pages 213--216
\mathnet{http://mi.mathnet.ru/jetpl1834}
\transl
\jour JETP Letters
\yr 2011
\vol 93
\issue 4
\pages 195--198
\crossref{https://doi.org/10.1134/S0021364011040126}
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\scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-79955619178}


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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. Ruban V.P., “The Fermi-Pasta-Ulam Recurrence and Related Phenomena for 1D Shallow-Water Waves in a Finite Basin”, J. Exp. Theor. Phys., 114:2 (2012), 343–353  crossref  adsnasa  isi  elib  scopus
  •       Pis'ma v Zhurnal ksperimental'noi i Teoreticheskoi Fiziki
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