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Zapiski Nauchnykh Seminarov POMI, 2014, Volume 426, Pages 189–202 (Mi znsl6037)  
Gaussian wave packet based on the “complex source”

A. M. Tagirdzhanova, A. P. Kiselevabc

a St. Petersburg State University, St. Petersburg, Russia
b Institute of Problems of Mechanical Engineering, Russian Academy of Sciences, St. Petersburg, Russia
c St. Petersburg Department of V. A. Steklov Institute of Mathematics of the Russian Academy of Sciences, St. Petersburg, Russia
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Abstract: The paper concerns a simple solution of the linear wave equation with 3 spacial variables which describes a wave packet exponentially localized near a point moving with the light speed. The construction is based on the “complex source”.
Key words and phrases: complex source, exact solutions, localized waves, Gaussian packets, wave equation.
Received: 30.10.2014
English version:
Journal of Mathematical Sciences (New York), 2016, Volume 214, Issue 3, Pages 372–381
DOI: https://doi.org/10.1007/s10958-016-2783-4
Bibliographic databases:
Document Type: Article
UDC: 517.95+530.1+534.1+535.24+537.8+535.24
Language: Russian
Citation: A. M. Tagirdzhanov, A. P. Kiselev, “Gaussian wave packet based on the “complex source””, Mathematical problems in the theory of wave propagation. Part 44, Zap. Nauchn. Sem. POMI, 426, POMI, St. Petersburg, 2014, 189–202; J. Math. Sci. (N. Y.), 214:3 (2016), 372–381
Citation in format AMSBIB
\Bibitem{TagKis14}
\by A.~M.~Tagirdzhanov, A.~P.~Kiselev
\paper Gaussian wave packet based on the ``complex source''
\inbook Mathematical problems in the theory of wave propagation. Part~44
\serial Zap. Nauchn. Sem. POMI
\yr 2014
\vol 426
\pages 189--202
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6037}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3485311}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2016
\vol 214
\issue 3
\pages 372--381
\crossref{https://doi.org/10.1007/s10958-016-2783-4}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84960455721}
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  • https://www.mathnet.ru/eng/znsl/v426/p189
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