Reduction of Multidimensional Wave Equations to Two-Dimensional Equations: Investigation of Possible Reduced Equations
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Publication:3099140
zbMATH Open1234.35023arXiv1010.4977MaRDI QIDQ3099140
Publication date: 1 December 2011
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.
Full work available at URL: https://arxiv.org/abs/1010.4977
Wave equation (35L05) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33) Symmetries, invariants, etc. in context of PDEs (35B06)
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