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Embedding algorithms and applications to differential equations.
- Source :
-
Journal of Symbolic Computation . May2018, Vol. 86, p166-188. 23p. - Publication Year :
- 2018
-
Abstract
- Algorithms for embedding certain types of nilpotent subalgebras in maximal subalgebras of the same type are developed, using methods of real algebraic groups. These algorithms are applied to determine non-conjugate subalgebras of the symmetry algebra of the wave equation, which in turn are used to determine a large class of invariant solutions of the wave equation. The algorithms are also illustrated for the symmetry algebra of a classical system of differential equations considered by Cartan in the context of contact geometry. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 07477171
- Volume :
- 86
- Database :
- Academic Search Index
- Journal :
- Journal of Symbolic Computation
- Publication Type :
- Academic Journal
- Accession number :
- 127986203
- Full Text :
- https://doi.org/10.1016/j.jsc.2017.05.002