Embedding algorithms and applications to differential equations
Representation Theory
2017-05-09 v3
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.
Cite
@article{arxiv.1603.08167,
title = {Embedding algorithms and applications to differential equations},
author = {Sajid Ali and Hassan Azad and Indranil Biswas and Ryad Ghanam and Tahir Mustafa},
journal= {arXiv preprint arXiv:1603.08167},
year = {2017}
}
Comments
Final version; to appear in Journal of Symbolic Computation