On the 7th order ODE with submaximal symmetry
Differential Geometry
2015-05-18 v3 Mathematical Physics
Algebraic Geometry
math.MP
Exactly Solvable and Integrable Systems
Abstract
We find a general solution to the unique 7th order ODE admitting ten dimensional group of contact symmetries. The integral curves of this ODE are rational contact curves in which give rise to rational plane curves of degree six. The moduli space of these curves is a real form of the homogeneous space .
Keywords
Cite
@article{arxiv.1002.1620,
title = {On the 7th order ODE with submaximal symmetry},
author = {Maciej Dunajski and Vladimir Sokolov},
journal= {arXiv preprint arXiv:1002.1620},
year = {2015}
}
Comments
6 pages, 2 figures. Final version - to appear in JGP