Reduction of Multidimensional Wave Equations to Two-Dimensional Equations: Investigation of Possible Reduced Equations
Mathematical Physics
2010-11-17 v2 Analysis of PDEs
math.MP
Exactly Solvable and Integrable Systems
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.
Keywords
Cite
@article{arxiv.1010.4977,
title = {Reduction of Multidimensional Wave Equations to Two-Dimensional Equations: Investigation of Possible Reduced Equations},
author = {Irina Yehorchenko},
journal= {arXiv preprint arXiv:1010.4977},
year = {2010}
}
Comments
14 pages; submitted to the Proceedings of Workshop on Group Analysis of Differential Equations and Integrable Systems, Protaras, Cyprus, June 2010