I. A. Blagoveshchenskii, A. P. Kiselev, “Singular astigmatic splash pulse is a solution of the homogeneous wave equation”, Zap. Nauchn. Sem. POMI, 2023, Volume 521,Pages <nobr>54

Singular astigmatic splash pulse is a solution of the homogeneous wave equation

I. A. Blagoveshchenskii^a, A. P. Kiselev^bc

^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

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.

UDC: 517.95, 530.1, 537.8, 535.24

Received: 06.10.2023