3 citations · 8 across the 4 of their papers we have counts for
4 papers
Complete Solution of Hadamard's Problem for the Scalar Wave Equation on Petrov type III Space-Times
S. R. Czapor, R. G. McLenaghan, F. D. Sasse
We prove that there are no Petrov type III space-times on which the conformally invariant (self-adjoint) scalar wave equation or the non-self-adjoint scalar wave equation satisfies…
Huygens' Principle for the Non-Self-Adjoint Scalar Wave Equation on Petrov type III Space-Times
W. G. Anderson, R. G. McLenaghan, F. D. Sasse
We prove that if the non-self-adjoint scalar wave equation satisfies Huygens' principle on Petrov type III space-times, then it is equivalent to the conformally invariant scalar wa…
Nonexistence of Petrov type III Space-Times on which Weyl's Neutrino Equation or Maxwell's Equations satisfy Huygens' Principle
R. G. McLenaghan, F. D. Sasse
Extending previous results we show that there are no Petrov type III space-times on which either the Weyl neutrino equation or Maxwell's equations satisfy Huygens' principle. We pr…
An invariant classification of cubic integrals of motion
R. G. McLenaghan, R. G. Smirnov, D. The
We employ an isometry group invariants approach to study Killing tensors of valence three defined in the Euclidean plane. The corresponding invariants are found to be homogeneous p…