Reduction of Multidimensional Wave Equations to Two-Dimensional Equations: Investigation of Possible Reduced Equations
arXiv:1010.4977
Abstract
We study possible Lie and non-classical reductions of multidimensional wave equations and the special classes of possible reduced equations - their symmetries and equivalence classes. Such investigation allows to find many new conditional and hidden symmetries of the original equations.
14 pages; submitted to the Proceedings of Workshop on Group Analysis of Differential Equations and Integrable Systems, Protaras, Cyprus, June 2010