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Zapiski Nauchnykh Seminarov POMI, 2001, Volume 275, Pages 187–198 (Mi znsl1400)  
This article is cited in 13 scientific papers (total in 13 papers)

Exponentially localized solutions to the Klein–Gordon equation

M. V. Perel', I. V. Fialkovskii

Saint-Petersburg State University
Full-text PDF (233 kB) Citations (13)
Abstract: Explicit exponentially localized packet-like solutions to the Klein–Gordon equation are presented for the cases of two and three spacial variables. The appoach is based on complex ray theory. The nonlinear Klein–Gorgon equation is reduced to simple ordinary differential equation of complex solution of the eiconal equation.
Received: 20.04.2000
English version:
Journal of Mathematical Sciences (New York), 2003, Volume 117, Issue 2, Pages 3994–4000
DOI: https://doi.org/10.1023/A:1024679111273
Bibliographic databases:
UDC: 550
Language: Russian
Citation: M. V. Perel', I. V. Fialkovskii, “Exponentially localized solutions to the Klein–Gordon equation”, Mathematical problems in the theory of wave propagation. Part 30, Zap. Nauchn. Sem. POMI, 275, POMI, St. Petersburg, 2001, 187–198; J. Math. Sci. (N. Y.), 117:2 (2003), 3994–4000
Citation in format AMSBIB
\Bibitem{PerFia01}
\by M.~V.~Perel', I.~V.~Fialkovskii
\paper Exponentially localized solutions to the Klein--Gordon equation
\inbook Mathematical problems in the theory of wave propagation. Part~30
\serial Zap. Nauchn. Sem. POMI
\yr 2001
\vol 275
\pages 187--198
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl1400}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1854509}
\zmath{https://zbmath.org/?q=an:1073.35015}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2003
\vol 117
\issue 2
\pages 3994--4000
\crossref{https://doi.org/10.1023/A:1024679111273}
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  • https://www.mathnet.ru/eng/znsl/v275/p187
    • This publication is cited in the following 13 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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