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Pis'ma v Zhurnal Èksperimental'noi i Teoreticheskoi Fiziki, 2013, Volume 98, Issue 1, Pages 48–52
DOI: https://doi.org/10.7868/S0370274X13130109 (Mi jetpl3463) 		 
This article is cited in 20 scientific papers (total in 20 papers)

NONLINEAR DYNAMICS

On the nonintegrability of the free surface hydrodynamics

A. I. Dyachenkoab, D. I. Kachulinb, V. E. Zakharovabcd

a Novosibirsk State University
b Landau Institute for Theoretical Physics, Russian Academy of Sciences
c University of Arizona, Department of Mathematics
d P. N. Lebedev Physical Institute, Russian Academy of Sciences
Full-text PDF (231 kB) Citations (20)
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DOI: https://doi.org/10.7868/S0370274X13130109
Abstract: We study integrability of the compact 1-D Zakharov equation. The results of numerical experiments on multiple collisions of breathers (which correspond to envelope solitons in the NLSE approximation) show that collisions are not pure elastic. Also we analyse the amplitude of six-wave interactions for compact 1-D Zakharov equation. It was found that six-wave amplitude is not canceled for this equation. Thus, 1-D Zakharov equation is not integrable.
Received: 21.05.2013
English version:
Journal of Experimental and Theoretical Physics Letters, 2013, Volume 98, Issue 1, Pages 43–47
DOI: https://doi.org/10.1134/S002136401314004X
Bibliographic databases:
Document Type: Article
Language: English
Citation: A. I. Dyachenko, D. I. Kachulin, V. E. Zakharov, “On the nonintegrability of the free surface hydrodynamics”, Pis'ma v Zh. Èksper. Teoret. Fiz., 98:1 (2013), 48–52; JETP Letters, 98:1 (2013), 43–47
Citation in format AMSBIB
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    • This publication is cited in the following 20 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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