Sibirskii Zhurnal Industrial'noi Matematiki
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Sibirskii Zhurnal Industrial'noi Matematiki, 2013, Volume 16, Number 1, Pages 126–137 (Mi sjim773)  
This article is cited in 1 scientific paper (total in 1 paper)

Geveralized functionally-invariant nonhomogeneous wave equation

Yu. V. Shan'ko

Institute of Computational Modeling of the SDRAS, Krasnoyarsk, Russia
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Abstract: We suggest a definition of generalized functionally invariant solutions of class $N$ of differential equations for sound propagation in a two-dimensional stationary inhomogeneous medium. The conditions are studied on functions of the density and speed of sound under which there are generalized functionally invariant solutions of class 2. The method is presented for constructing exact generalized functionally invariant solutions.
Keywords: inhomogeneous wave equation, generalized functionally invariant solutions, exact solutions.
Received: 28.01.2013
Bibliographic databases:
Document Type: Article
UDC: 517.956
Language: Russian
Citation: Yu. V. Shan'ko, “Geveralized functionally-invariant nonhomogeneous wave equation”, Sib. Zh. Ind. Mat., 16:1 (2013), 126–137
Citation in format AMSBIB
\Bibitem{Sha13}
\by Yu.~V.~Shan'ko
\paper Geveralized functionally-invariant nonhomogeneous wave equation
\jour Sib. Zh. Ind. Mat.
\yr 2013
\vol 16
\issue 1
\pages 126--137
\mathnet{http://mi.mathnet.ru/sjim773}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3203312}
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  • https://www.mathnet.ru/eng/sjim/v16/i1/p126
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Сибирский журнал индустриальной математики
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