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Sbornik: Mathematics, 1995, Volume 186, Issue 11, Pages 1581–1597
DOI: https://doi.org/10.1070/SM1995v186n11ABEH000084 (Mi sm84) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Singularities of the propagation of shot waves on the plane

I. A. Bogaevsky

Moscow State Forest University
English version PDF (941 kB) Citations (4) Russian version article
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DOI: https://doi.org/10.1070/SM1995v186n11ABEH000084
Abstract: The subject of this paper is the geometric optics of linear shot waves on the plane. We describe the transformation fronts and scattering of rays when the light hypersurface has conic singularities. They appear if the waves propagate in a non-homogeneous anisotropic medium subject to the hyperbolic variational principle.
Received: 31.03.1995
Bibliographic databases:
UDC: 515.164.15
MSC: 78A05
Language: English
Original paper language: Russian
Citation: I. A. Bogaevsky, “Singularities of the propagation of shot waves on the plane”, Sb. Math., 186:11 (1995), 1581–1597
Citation in format AMSBIB
\Bibitem{Bog95}
\by I.~A.~Bogaevsky
\paper Singularities of the~propagation of shot waves on the~plane
\jour Sb. Math.
\yr 1995
\vol 186
\issue 11
\pages 1581--1597
\mathnet{http://mi.mathnet.ru//eng/sm84}
\crossref{https://doi.org/10.1070/SM1995v186n11ABEH000084}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1368785}
\zmath{https://zbmath.org/?q=an:0863.35102}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1995UL00600002}
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  • https://doi.org/10.1070/SM1995v186n11ABEH000084
  • https://www.mathnet.ru/eng/sm/v186/i11/p35
    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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