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Zapiski Nauchnykh Seminarov POMI, 2019, Volume 483, Pages 79–84 (Mi znsl6855)  
This article is cited in 1 scientific paper (total in 1 paper)

Two-dimensional singular splash modes

E. A. Zlobinaa, A. P. Kiselevbc

a Saint Petersburg State University
b St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences
c Institute of Problems of Mechanical Engineering, Russian Academy of Sciences, St. Petersburg
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Abstract: It is proved that a certain simple specification of the 2D Bateman-type complexified solution with a singularity at a running point satisfies the homogeneous wave equation, while the respective non-complexified function does not.
Key words and phrases: wave equation, explicit solutions.
Funding agency Grant number
Russian Science Foundation 17-11-01126
Received: 07.11.2019
Document Type: Article
UDC: 517
Language: Russian
Citation: E. A. Zlobina, A. P. Kiselev, “Two-dimensional singular splash modes”, Mathematical problems in the theory of wave propagation. Part 49, Zap. Nauchn. Sem. POMI, 483, POMI, St. Petersburg, 2019, 79–84
Citation in format AMSBIB
\Bibitem{ZloKis19}
\by E.~A.~Zlobina, A.~P.~Kiselev
\paper Two-dimensional singular splash modes
\inbook Mathematical problems in the theory of wave propagation. Part~49
\serial Zap. Nauchn. Sem. POMI
\yr 2019
\vol 483
\pages 79--84
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6855}
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  • https://www.mathnet.ru/eng/znsl/v483/p79
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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