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Sibirskii Zhurnal Industrial'noi Matematiki, 2010, Volume 13, Number 4, Pages 131–140 (Mi sjim644)  
This article is cited in 2 scientific papers (total in 2 papers)

Steady oscillations in a continuously inhomogeneous medium described by the Ovsyannikov equation

Yu. A. Chirkunovab

a Novosibirsk State Technical University, Novosibirsk
b Institute of Computational Technologies, SB RAS, Novosibirsk
Full-text PDF (250 kB) Citations (2)
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Abstract: Using group analysis methods, for the Ovsyannikov equation with maximal symmetry which describes steady oscillations in a continuously inhomogeneous medium we obtain an exact solution to the boundary value problems for some regions (a generalized Poisson formula), which in particular can serve as test solutions for simulating steady oscillations in continuously inhomogeneous media. We find operators acting on the set of solutions in a one-parameter family of these equations.
Keywords: Ovsyannikov equation, maximal symmetry, steady oscillations in continuously inhomogeneous medium, intertwining operators, generalized Poisson formula.
Received: 13.05.2009
English version:
Journal of Applied and Industrial Mathematics, 2011, Volume 5, Issue 3, Pages 313–321
DOI: https://doi.org/10.1134/S199047891103001X
Bibliographic databases:
Document Type: Article
UDC: 517.956
Language: Russian
Citation: Yu. A. Chirkunov, “Steady oscillations in a continuously inhomogeneous medium described by the Ovsyannikov equation”, Sib. Zh. Ind. Mat., 13:4 (2010), 131–140; J. Appl. Industr. Math., 5:3 (2011), 313–321
Citation in format AMSBIB
\Bibitem{Chi10}
\by Yu.~A.~Chirkunov
\paper Steady oscillations in a~continuously inhomogeneous medium described by the Ovsyannikov equation
\jour Sib. Zh. Ind. Mat.
\yr 2010
\vol 13
\issue 4
\pages 131--140
\mathnet{http://mi.mathnet.ru/sjim644}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2841220}
\transl
\jour J. Appl. Industr. Math.
\yr 2011
\vol 5
\issue 3
\pages 313--321
\crossref{https://doi.org/10.1134/S199047891103001X}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Сибирский журнал индустриальной математики
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