Abstract | ||
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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. |
Year | DOI | Venue |
---|---|---|
2018 | 10.1016/j.jsc.2017.05.002 | Journal of Symbolic Computation |
Keywords | Field | DocType |
17B45,17B30,17B81,34L99 | Differential equation,Discrete mathematics,Algebraic number,Embedding,Algebra,Algebraic differential equation,Differential algebraic geometry,Algorithm,Invariant (mathematics),Wave equation,Mathematics,Nilpotent | Journal |
Volume | ISSN | Citations |
86 | 0747-7171 | 2 |
PageRank | References | Authors |
0.77 | 1 | 5 |
Name | Order | Citations | PageRank |
---|---|---|---|
S. Ali | 1 | 48 | 18.54 |
H. Azad | 2 | 3 | 1.84 |
Indranil Biswas | 3 | 9 | 3.26 |
Ryad Ghanam | 4 | 2 | 1.78 |
m t mustafa | 5 | 5 | 2.49 |