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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2009, Volume 50, Issue 2, Pages 72–78 (Mi pmtf1718)  
This article is cited in 6 scientific papers (total in 6 papers)

Solitary waves in a weakly stratified two-layer fluid

N. I. Makarenko, Zh. L. Maltseva

Lavrent’ev Institute of Hydrodynamics, Siberian Division, Russian Academy of Sciences, Novosibirsk, 630090, Russia
Full-text PDF (556 kB) Citations (6)
Abstract: A problem on stationary waves on the interface between a homogeneous fluid and an exponentially stratified fluid is considered. The density difference on the interface being assumed to have the same order of smallness as the density gradient of the fluid inside the stratified layer, an equation of the second-order shallow water approximation is derived for description of propagation of finite-amplitude solitary waves.
Keywords: two-layer fluid, weak stratification, solitary waves.
Received: 08.12.2008
English version:
Journal of Applied Mechanics and Technical Physics, 2009, Volume 50, Issue 2, Pages 229–234
DOI: https://doi.org/10.1007/s10808-009-0031-0
Bibliographic databases:
Document Type: Article
UDC: 532.592
Language: Russian
Citation: N. I. Makarenko, Zh. L. Maltseva, “Solitary waves in a weakly stratified two-layer fluid”, Prikl. Mekh. Tekh. Fiz., 50:2 (2009), 72–78; J. Appl. Mech. Tech. Phys., 50:2 (2009), 229–234
Citation in format AMSBIB
\Bibitem{MakMal09}
\by N.~I.~Makarenko, Zh.~L.~Maltseva
\paper Solitary waves in a weakly stratified two-layer fluid
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2009
\vol 50
\issue 2
\pages 72--78
\mathnet{http://mi.mathnet.ru/pmtf1718}
\elib{https://elibrary.ru/item.asp?id=11839330}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2009
\vol 50
\issue 2
\pages 229--234
\crossref{https://doi.org/10.1007/s10808-009-0031-0}
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  • https://www.mathnet.ru/eng/pmtf/v50/i2/p72
    • This publication is cited in the following 6 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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