E. A. Zlobina, A. P. Kiselev, “Two-dimensional singular splash modes”, Zap. Nauchn. Sem. POMI, 2019, Volume 483,Pages <nobr>79

This article is cited in 1 paper

Two-dimensional singular splash modes

E. A. Zlobina^a, A. P. Kiselev^bc

^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

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.

UDC: 517

Received: 07.11.2019