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 language | English (US) |
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Pages (from-to) | 1741-1751 |
Number of pages | 11 |
Journal | Journal of Mathematical Physics |
Volume | 18 |
Issue number | 9 |
DOIs | |
State | Published - 1976 |
Externally published | Yes |