Symmetry condition in terms of Lie brackets
Exactly Solvable and Integrable Systems
2009-02-09 v2
Abstract
A passive orthonomic system of PDEs defines a submanifold in the corresponding jet manifold, coordinated by so called parametric derivatives. We restrict the total differential operators and the prolongation of an evolutionary vector field v to this submanifold. We show that the vanishing of their commutators is equivalent to v being a generalized symmetry of the system.
Keywords
Cite
@article{arxiv.0802.1954,
title = {Symmetry condition in terms of Lie brackets},
author = {Peter H. van der Kamp},
journal= {arXiv preprint arXiv:0802.1954},
year = {2009}
}
Comments
10 pages, no figures, unpublished