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Sibirskii Zhurnal Industrial'noi Matematiki, 2019, Volume 22, Number 2, Pages 49–61
DOI: https://doi.org/10.33048/sibjim.2019.22.205 (Mi sjim1042) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Functional invariant solutions to Maxwell's system: dependence on time

M. V. Neshchadimab, A. A. Simonovb

a Sobolev Institute of Mathematics SB RAS, pr. Akad. Koptyuga 4, 630090 Novosibirsk
b Novosibirsk State University, ul. Pirogova 1, 630090 Novosibirsk
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DOI: https://doi.org/10.33048/sibjim.2019.22.205
Abstract: We consider the problem of finding the generalized functionally invariant solutions to Maxwell's equations. The solutions found contain some functional arbitrariness that can be used for determining the parameters of Maxwell's system (the dielectric and magnetic constants).
Keywords: Maxwell's system, generalized functionally invariant solution.
Funding agency Grant number
Russian Academy of Sciences - Federal Agency for Scientific Organizations 1.3.8
Siberian Branch of Russian Academy of Sciences I.1.5 (проект 0314-2016-0011)
Received: 11.09.2018
Revised: 30.10.2018
Accepted: 27.12.2018
English version:
Journal of Applied and Industrial Mathematics, 2019, Volume 13, Issue 2, Pages 290–301
DOI: https://doi.org/10.1134/S1990478919020108
Bibliographic databases:
Document Type: Article
UDC: 517.95
Language: Russian
Citation: M. V. Neshchadim, A. A. Simonov, “Functional invariant solutions to Maxwell's system: dependence on time”, Sib. Zh. Ind. Mat., 22:2 (2019), 49–61; J. Appl. Industr. Math., 13:2 (2019), 290–301
Citation in format AMSBIB
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\by M.~V.~Neshchadim, A.~A.~Simonov
\paper Functional invariant solutions to Maxwell's system: dependence on time
\jour Sib. Zh. Ind. Mat.
\yr 2019
\vol 22
\issue 2
\pages 49--61
\mathnet{http://mi.mathnet.ru/sjim1042}
\crossref{https://doi.org/10.33048/sibjim.2019.22.205}
\elib{https://elibrary.ru/item.asp?id=41637419}
\transl
\jour J. Appl. Industr. Math.
\yr 2019
\vol 13
\issue 2
\pages 290--301
\crossref{https://doi.org/10.1134/S1990478919020108}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85067288794}
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    • 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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