Lie theory and the wave equation in space-time. 5. R-separable solutions of the wave equation ψtt - Δ3ψ = 0

E. G. Kalnins, W. Miller

Research output: Contribution to journalArticlepeer-review

8 Scopus citations

Abstract

A detailed classification is made of all orthogonal coordinate systems for which the wave equation ψ - Δ3ψ = 0 admits an R-separable solution. Only those coordinate systems are given which are not conformally equivalent to coordinate systems that have already been found in previous articles. We find 106 coordinates to given a total of 368 conformally inequivalent orthogonal coordinates for which the wave equation admits an R separation of variables.

Original languageEnglish (US)
Pages (from-to)1247-1257
Number of pages11
JournalJournal of Mathematical Physics
Volume19
Issue number6
DOIs
StatePublished - 1977

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