Title
Embedding algorithms and applications to differential equations.
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.
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. Ali14818.54
H. Azad231.84
Indranil Biswas393.26
Ryad Ghanam421.78
m t mustafa552.49