Differential Invariants and Hidden Symmetry
Mathematical Physics
2011-03-01 v2 Analysis of PDEs
math.MP
Abstract
We describe some classes of PDE that display hidden symmetry, with reduced equations having additional symmetry operators compared to the initial equations. Relations between the concepts of hidden and conditional symmetry, and between hidden symmetry and equivalence of classes of equations, is discussed. In particular, we describe equations having hidden and conditional symmetry under rotations and boosts in the Lorentz and Euclid groups.
Cite
@article{arxiv.1010.5313,
title = {Differential Invariants and Hidden Symmetry},
author = {Irina Yehorchenko},
journal= {arXiv preprint arXiv:1010.5313},
year = {2011}
}
Comments
13 pages