A. M. Tagirdzhanov, A. P. Kiselev, “Gaussian wave packet based on the “complex source””, Zap. Nauchn. Sem. POMI, 2014, Volume 426,Pages <nobr>189

Gaussian wave packet based on the “complex source”

A. M. Tagirdzhanov^a, A. P. Kiselev^abc

^a St. Petersburg State University, St. Petersburg, Russia
^b Institute of Problems of Mechanical Engineering, Russian Academy of Sciences, St. Petersburg, Russia
^c St. Petersburg Department of V. A. Steklov Institute of Mathematics of the Russian Academy of Sciences, St. Petersburg, Russia

Abstract: The paper concerns a simple solution of the linear wave equation with 3 spacial variables which describes a wave packet exponentially localized near a point moving with the light speed. The construction is based on the “complex source”.

Key words and phrases: complex source, exact solutions, localized waves, Gaussian packets, wave equation.

UDC: 517.95+530.1+534.1+535.24+537.8+535.24

Received: 30.10.2014