Reduction of Multidimensional Wave Equations to Two-Dimensional Equations: Investigation of Possible Reduced Equations

Details Reduction of Multidimensional Wave Equations to Two-Dimensional Equations: Investigation of Possible Reduced Equations Reduction of Multidimensional Wave Equations to Two-Dimensional Equations: Investigation of Possible Reduced Equations

2010-10-24

arxiv.org/abs/1010.4977v2

Physics

Mathematical Physics

14 pages; submitted to the Proceedings of Workshop on Group Analysis of Differential Equations and Integrable Systems, Protara

Scientific paper

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.

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