Symmetry, Equivalence and Integrable Classes of Abel Equations
Exactly Solvable and Integrable Systems
2007-05-23 v2 Mathematical Physics
math.MP
Abstract
We suggest an approach for description of integrable cases of the Abel equations. It is based on increasing of the order of equations up to the second one and using equivalence transformations for the corresponding second-order ordinary differential equations. The problem of linearizability of the equations under consideration is discussed.
Keywords
Cite
@article{arxiv.nlin/0404020,
title = {Symmetry, Equivalence and Integrable Classes of Abel Equations},
author = {Vyacheslav M. Boyko},
journal= {arXiv preprint arXiv:nlin/0404020},
year = {2007}
}
Comments
8 pages, essentially revised and extended version