NEW SOLUTIONS OF THE WAVE-EQUATION BY REDUCTION TO THE HEAT-EQUATION

Authors
BASARABHORWATH P BARANNYK L FUSHCHYCH WI
Citation
P. Basarabhorwath et al., NEW SOLUTIONS OF THE WAVE-EQUATION BY REDUCTION TO THE HEAT-EQUATION, Journal of physics. A, mathematical and general, 28(18), 1995, pp. 5291-5304
Citations number
12
Categorie Soggetti
Physics
Journal title
Journal of physics. A, mathematical and general → ACNP
ISSN journal
03054470
Volume
28
Issue
18
Year of publication
1995
Pages
5291 - 5304
Database
ISI
SICI code
0305-4470(1995)28:18<5291:NSOTWB>2.0.ZU;2-R
Abstract
In this article we make a new connection between the linear wave equat ion and the linear heat equation. In this way we are able to construct new solutions of the linear wave equation, using symmetries and condi tional symmetries of the heat equation.