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Zapiski Nauchnykh Seminarov POMI, 2023, Volume 521, Pages 54–58 (Mi znsl7323)  
Singular astigmatic splash pulse is a solution of the homogeneous wave equation

I. A. Blagoveshchenskiia, A. P. Kiselevbc

a Naval Academy, St. Petersburg
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 Bateman-type function having a running singularity, satisfies the homogeneous wave equation on the entire space-time.
Key words and phrases: wave equation, closed-form solutions, Bateman solution, splash pulse.
Received: 06.10.2023
Document Type: Article
UDC: 517.95, 530.1, 537.8, 535.24
Language: Russian
Citation: I. A. Blagoveshchenskii, A. P. Kiselev, “Singular astigmatic splash pulse is a solution of the homogeneous wave equation”, Mathematical problems in the theory of wave propagation. Part 53, Zap. Nauchn. Sem. POMI, 521, POMI, St. Petersburg, 2023, 54–58
Citation in format AMSBIB
\Bibitem{BlaKis23}
\by I.~A.~Blagoveshchenskii, A.~P.~Kiselev
\paper Singular astigmatic splash pulse is a solution of the homogeneous wave equation
\inbook Mathematical problems in the theory of wave propagation. Part~53
\serial Zap. Nauchn. Sem. POMI
\yr 2023
\vol 521
\pages 54--58
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl7323}
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