1. Symmetries of the Eikonal equation.
- Author
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Ghanam, Ryad and Thompson, Gerard
- Subjects
- *
EIKONAL equation , *MATHEMATICAL symmetry , *ISOMORPHISM (Mathematics) , *INDEPENDENT variables , *VECTOR fields - 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. [ABSTRACT FROM AUTHOR]
- Published
- 2018
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