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Moscow Mathematical Journal, 2003, Volume 3, Number 3, Pages 807–821
DOI: https://doi.org/10.17323/1609-4514-2003-3-3-807-821 (Mi mmj109) 		 
This article is cited in 4 scientific papers (total in 4 papers)

New singularities and perestroikas of fronts of linear waves

I. A. Bogaevsky

Independent University of Moscow
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DOI: https://doi.org/10.17323/1609-4514-2003-3-3-807-821
Abstract: The subject of the paper is the propagation of linear waves in plane and three-dimensional space. We describe some new (as compared with the $ADE$-classification) typical singularities and perestroikas of their fronts when the light hypersurface has conical singularities. Such singularities appear if the waves propagate in a non-homogeneous anisotropic medium and are controlled by a variational principle.
Key words and phrases: Singularity, perestroika, front, contact structure, Legendre submanifold, Legendre fibration.
Received: June 26, 2002
Bibliographic databases:
MSC: 58K40, 74J05, 58J47
Language: English
Citation: I. A. Bogaevsky, “New singularities and perestroikas of fronts of linear waves”, Mosc. Math. J., 3:3 (2003), 807–821
Citation in format AMSBIB
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\by I.~A.~Bogaevsky
\paper New singularities and perestroikas of fronts of linear waves
\jour Mosc. Math.~J.
\yr 2003
\vol 3
\issue 3
\pages 807--821
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\zmath{https://zbmath.org/?q=an:1063.58028}
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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