Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6861216 | Journal of Symbolic Computation | 2018 | 24 Pages |
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.
Related Topics
Physical Sciences and Engineering
Computer Science
Artificial Intelligence
Authors
Sajid Ali, Hassan Azad, Indranil Biswas, Ryad Ghanam, M.T. Mustafa,