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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2019, Volume 60, Issue 3, Pages 67–72
DOI: https://doi.org/10.15372/PMTF20190307 (Mi pmtf438) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Experimental-theoretical determination of the limiting amplitude and minimum duration of solitary waves in a weakly dispersing shallow sea

V. V. Novotryasov, M. S. Permyakov

Il’ichev’s Pacific Oceanological Institute, Far Eastern Branch, Russian Academy of Sciences, Vladivostok, 690041, Russia
Full-text PDF (245 kB) Citations (2)
DOI: https://doi.org/10.15372/PMTF20190307
Abstract: This paper presents the results of an analysis of field measurements of a wave bore in the pycnocline of a shallow sea using vertical located thermistors. Hydrodynamic interpretation of the space-time structure of the bore is performed using a mathematical model of a weakly dispersed shallow sea which takes into account the influence of cubic nonlinearity and low-frequency dispersion. The limiting amplitude and minimum duration of the soliton solutions of the model are determined. An algorithm for evaluating these parameters based on measurements of the pulsations of isotherms induced by the bore is proposed. The limiting amplitude and minimum duration of solitary waves in the pycnocline in the coastal the Sea of Japan are evaluated.
Keywords: shallow sea, field measurements, internal wave bore, table-like soliton.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation AAAA-A17-117030110034-7
Received: 21.05.2018
Revised: 12.10.2018
Accepted: 24.12.2018
English version:
Journal of Applied Mechanics and Technical Physics, 2019, Volume 60, Issue 3, Pages 457–461
DOI: https://doi.org/10.1134/S0021894419030076
Bibliographic databases:
Document Type: Article
UDC: 532.59; 551.446
Language: Russian
Citation: V. V. Novotryasov, M. S. Permyakov, “Experimental-theoretical determination of the limiting amplitude and minimum duration of solitary waves in a weakly dispersing shallow sea”, Prikl. Mekh. Tekh. Fiz., 60:3 (2019), 67–72; J. Appl. Mech. Tech. Phys., 60:3 (2019), 457–461
Citation in format AMSBIB
\Bibitem{NovPer19}
\by V.~V.~Novotryasov, M.~S.~Permyakov
\paper Experimental-theoretical determination of the limiting amplitude and minimum duration of solitary waves in a weakly dispersing shallow sea
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2019
\vol 60
\issue 3
\pages 67--72
\mathnet{http://mi.mathnet.ru/pmtf438}
\crossref{https://doi.org/10.15372/PMTF20190307}
\elib{https://elibrary.ru/item.asp?id=38162700}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2019
\vol 60
\issue 3
\pages 457--461
\crossref{https://doi.org/10.1134/S0021894419030076}
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  • https://www.mathnet.ru/eng/pmtf/v60/i3/p67
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Prikladnaya Mekhanika i Tekhnicheskaya Fizika Prikladnaya Mekhanika i Tekhnicheskaya Fizika
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