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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2014, Volume 55, Issue 3, Pages 37–50 (Mi pmtf1061)  
This article is cited in 4 scientific papers (total in 4 papers)

Nonlinear-dispersive shallow water equations on a rotating sphere and conservation laws

Z. I. Fedotova, G. S. Khakimzianov

Institute of Computational Technologies, Siberian Branch of the Russian Academy of Sciences, Novosibirsk, 630090, Russia
Full-text PDF (261 kB) Citations (4)
Abstract: Nonlinear dispersive shallow water equations on a sphere are obtained without using the potential flow assumption. Boussinesq-type equations for weakly nonlinear waves over a moving bottom are derived. It is found that the total energy balance holds for all obtained nonlinear dispersive equations on a sphere.
Keywords: shallow water equations on a sphere, surface waves, nonlinear dispersive equations, Boussinesq type equations, energy conservation law.
Received: 13.05.2013
English version:
Journal of Applied Mechanics and Technical Physics, 2014, Volume 55, Issue 3, Pages 404–416
DOI: https://doi.org/10.1134/S0021894414030043
Bibliographic databases:
Document Type: Article
UDC: 532.59+519.63
Language: Russian
Citation: Z. I. Fedotova, G. S. Khakimzianov, “Nonlinear-dispersive shallow water equations on a rotating sphere and conservation laws”, Prikl. Mekh. Tekh. Fiz., 55:3 (2014), 37–50; J. Appl. Mech. Tech. Phys., 55:3 (2014), 404–416
Citation in format AMSBIB
\Bibitem{FedKha14}
\by Z.~I.~Fedotova, G.~S.~Khakimzianov
\paper Nonlinear-dispersive shallow water equations on a rotating sphere and conservation laws
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2014
\vol 55
\issue 3
\pages 37--50
\mathnet{http://mi.mathnet.ru/pmtf1061}
\elib{https://elibrary.ru/item.asp?id=21946347}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2014
\vol 55
\issue 3
\pages 404--416
\crossref{https://doi.org/10.1134/S0021894414030043}
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  • https://www.mathnet.ru/eng/pmtf/v55/i3/p37
    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Prikladnaya Mekhanika i Tekhnicheskaya Fizika Prikladnaya Mekhanika i Tekhnicheskaya Fizika
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