Lie symmetries for systems of evolution equations
Analysis of PDEs
2018-03-14 v1 Mathematical Physics
math.MP
Abstract
The Lie symmetries for a class of systems of evolution equations are studied. The evolution equations are defined in a bimetric space with two Riemannian metrics corresponding to the space of the independent and dependent variables of the differential equations. The exact relation of the Lie symmetries with the collineations of the bimetric space is determined
Keywords
Cite
@article{arxiv.1710.08824,
title = {Lie symmetries for systems of evolution equations},
author = {Andronikos Paliathanasis and Michael Tsamparlis},
journal= {arXiv preprint arXiv:1710.08824},
year = {2018}
}
Comments
7 pages, to appear in J. Geom. Phys