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JOURNALS // Problemy Fiziki, Matematiki i Tekhniki (Problems of Physics, Mathematics and Technics) // Archive

PFMT, 2021 Issue 1(46), Pages 13–18 (Mi pfmt759)

PHYSICS

Solutions of the wave equation in parabolic rotary coordinates. III. Spatiotemporal wave packets of Kummer–Kummer and Tricomi–Kummer with the continuous angular index

S. S. Girgel

F. Scorina Gomel State University

Abstract: Analytical expressions in the closed form for spatiotemporal wave packets of Kummer–Kummer and Tricomi–Kummer with continuous angular index $m$ in parabolic rotary coordinates are offered and analyzed. Physical restrictions on possible values of free parameters of such modes that they transfer finite power are formulated.

Keywords: spatiotemporal wave packets, parabolic rotary coordinates, modes Kummer–Kummer, modes Tricomi–Kummer.

UDC: 535.42

Received: 14.10.2020



© Steklov Math. Inst. of RAS, 2026