Lie theory and the wave equation in space–time. 5. R-separable solutions of the wave equation ψtt-∆3ψ=0

dc.contributor.authorKalnins, Ernie G.
dc.contributor.authorMiller, W., Jr.
dc.date.accessioned2008-11-03T03:47:29Z
dc.date.available2008-11-03T03:47:29Z
dc.date.issued1978-06
dc.description.abstractA detailed classification is made of all orthogonal coordinate systems for which the wave equation ψtt-∆3ψ=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.en_US
dc.format.mimetypeapplication/pdf
dc.identifier.citationKalnins, E.G. & Miller, W., Jr. (1978). Lie theory and the wave equation in space–time. 5. R-separable solutions of the wave equation ψtt-∆3ψ=0. Journal of Mathematical Physics, 19, 1247.en_US
dc.identifier.doi10.1063/1.523820en_US
dc.identifier.issn0022-2488
dc.identifier.urihttps://hdl.handle.net/10289/1246
dc.language.isoen
dc.relation.isPartOfJournal of Mathematical Physicsen_NZ
dc.relation.urihttp://link.aip.org/link/?JMAPAQ/19/1247/1en_US
dc.rightsCopyright 1978 American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics. The following article appeared in the Journal of Mathematical Physics and may be found at http://jmp.aip.org/jmp/top.jspen_US
dc.subjectMathematicsen_US
dc.titleLie theory and the wave equation in space–time. 5. R-separable solutions of the wave equation ψtt-∆3ψ=0en_US
dc.typeJournal Articleen_US
dspace.entity.typePublication
pubs.begin-page1247en_NZ
pubs.end-page1257en_NZ
pubs.issue6en_NZ
pubs.volume19en_NZ

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