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Zapiski Nauchnykh Seminarov POMI, 2011, Volume 393, Pages 224–233 (Mi znsl4626)  
This article is cited in 4 scientific papers (total in 4 papers)

Tilted nonparaxial beams and packets for the wave equation with two spatial variables

A. B. Plachenov

Moscow State Institute of Radio-Engineering, Electronics and Automation (Technical University), Moscow
Full-text PDF (218 kB) Citations (4)
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Abstract: A class of relatively nondistorted solutions of the wave equation in two-dimension space is constructed. This class includes nonharmonic in time tilted beam-like and packetlike solutions with Gaussian-type localization.
Key words and phrases: wave equation, exact solutions, localizad waves, Bateman solutions, tilted beams.
Received: 18.10.2011
English version:
Journal of Mathematical Sciences (New York), 2012, Volume 185, Issue 4, Pages 638–643
DOI: https://doi.org/10.1007/s10958-012-0948-3
Bibliographic databases:
Document Type: Article
UDC: 517.95
Language: Russian
Citation: A. B. Plachenov, “Tilted nonparaxial beams and packets for the wave equation with two spatial variables”, Mathematical problems in the theory of wave propagation. Part 41, Zap. Nauchn. Sem. POMI, 393, POMI, St. Petersburg, 2011, 224–233; J. Math. Sci. (N. Y.), 185:4 (2012), 638–643
Citation in format AMSBIB
\Bibitem{Pla11}
\by A.~B.~Plachenov
\paper Tilted nonparaxial beams and packets for the wave equation with two spatial variables
\inbook Mathematical problems in the theory of wave propagation. Part~41
\serial Zap. Nauchn. Sem. POMI
\yr 2011
\vol 393
\pages 224--233
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl4626}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2870215}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2012
\vol 185
\issue 4
\pages 638--643
\crossref{https://doi.org/10.1007/s10958-012-0948-3}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84866529664}
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  • https://www.mathnet.ru/eng/znsl/v393/p224
    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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