Generalization of Brittingham's localized solutions to the wave equation |
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| Authors: | VV Borisov AB Utkin |
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| Institution: | (1) Physics Institute, St. Petersburg University, Ulyanovskaya 1, Petrodvorets, St. Petersburg 198904, Russia, RU;(2) Instituto Superior Técnico, Av. Rovisco Pais 1, Lisbon 1049-001, Portugal, PT |
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| Abstract: | 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.
Received 23 March 2001 |
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| Keywords: | PACS 43 20 Bi Mathematical theory of wave propagation – 41 20 Jb Electromagnetic wave propagation radiowave propagation |
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