https://doi.org/10.1007/s100510170155
Generalization of Brittingham's localized solutions to the wave equation
1
Physics Institute, St. Petersburg University, Ulyanovskaya 1,
Petrodvorets, St. Petersburg 198904, Russia
2
Instituto Superior Técnico, Av. Rovisco Pais 1, Lisbon 1049-001, Portugal
Received:
23
March
2001
Published online: 15 June 2001
A family of localized solutions of Brittingham's type is constructed for different cylindric coordinates. We use method of incomplete separation of variables with zero separation constant and, then, the Bateman transformation, which enables us to obtain solutions in the form of relatively undistorted progressing waves containing two arbitrary functions, each of which depends on a specific phase function.
PACS: 43.20.Bi – Mathematical theory of wave propagation / 41.20.Jb – Electromagnetic wave propagation; radiowave propagation
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2001
