| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 7154719 | Communications in Nonlinear Science and Numerical Simulation | 2018 | 16 Pages |
Abstract
The infinitesimal algebra of Lie symmetries of the Eikonal equation is shown to be isomorphic to o(n+1,2) when there are n independent variables. An explicit basis is found that is aligned with the standard basis coming from the standard matrix representation of o(n+1,2) thereby making it possible to read off inequivalent one-dimensional symmetry vector fields. The symmetries are used to construct various solutions of the Eikonal equation.
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Authors
Ryad Ghanam, Gerard Thompson,