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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2013, Volume 10, Pages 418–435 (Mi semr422)  
This article is cited in 5 scientific papers (total in 5 papers)

Differentical equations, dynamical systems and optimal control

Classes of generalized functional invariant solutions of wave equation. I

M. V. Neshchadimab

a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
b Novosibirsk State University
Full-text PDF (530 kB) Citations (5)
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Abstract: Proved that formula Smirnov–Sobolev give all real-valued functional invariant solutions of wave equation in space arbitrary dimension. Proved that solution with many phase functions are essential complex-valued. Considered problem finding of amplitude of generalized functional invariant solution for given phase.
Keywords: wave equation, generalized functional invariant solutions.
Received April 19, 2013, published May 21, 2013
Document Type: Article
UDC: 517.95
MSC: 35L05, 35N10
Language: Russian
Citation: M. V. Neshchadim, “Classes of generalized functional invariant solutions of wave equation. I”, Sib. Èlektron. Mat. Izv., 10 (2013), 418–435
Citation in format AMSBIB
\Bibitem{Nes13}
\by M.~V.~Neshchadim
\paper Classes of generalized functional invariant solutions of wave equation.~I
\jour Sib. \`Elektron. Mat. Izv.
\yr 2013
\vol 10
\pages 418--435
\mathnet{http://mi.mathnet.ru/semr422}
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  • https://www.mathnet.ru/eng/semr/v10/p418
    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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