Lie theory and the wave equation in space–time. 5. R-separable solutions of the wave equation ψt t−Δ3ψ=0 | Zendy

E. G. Kalnins | Zendy; Willard Miller | Zendy

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Lie theory and the wave equation in space–time. 5. R-separable solutions of the wave equation ψt t−Δ3ψ=0

Author(s) -

E. G. Kalnins,

Willard Miller

Publication year - 1977

Publication title -

journal of mathematical physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.708

H-Index - 119

eISSN - 1089-7658

pISSN - 0022-2488

DOI - 10.1063/1.523482

Subject(s) - separable space , wave equation , mathematics , separation of variables , coordinate system , mathematical analysis , orthogonal coordinates , coordinate space , ellipsoidal coordinates , space (punctuation) , mathematical physics , elliptic coordinate system , integro differential equation , spherical coordinate system , partial differential equation , geometry , first order partial differential equation , linguistics , philosophy

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

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