Lie theory and the wave equation in space-time. 5. R-separable solutions of the wave equation ψtt3ψ = 0

E. G. Kalnins, W. Miller

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2 Scopus citations

Abstract

A detailed classification is made of orthogonal coordinate systems for which the wave equation ψtt - Δ3ψ = 0 admits an R -separable solution. Only those coordinate systems are given which are not conformally equivalent to coordinate systems that have been found in previous articles. We find 106 new coordinates to give a total of 367 conformally inequivalent orthogonal coordinates for which the wave equation admits an R -separation of variables.

Original languageEnglish (US)
Pages (from-to)1741-1751
Number of pages11
JournalJournal of Mathematical Physics
Volume18
Issue number9
DOIs
StatePublished - 1976

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