The Calogero equation and Liouville type equations
Exactly Solvable and Integrable Systems
2007-05-23 v1
Abstract
In this paper we present a two-component generalization of the C-integrable Calogero equation (see [1]). This system is C-integrable as well, and moreover we show that the Calogero equation and its two-component generalization are solvable by a reciprocal transformation to ODE's. Simultaneously we obtain a generalized Liouville equation (34), determined by two arbitrary functions of one variable.
Cite
@article{arxiv.nlin/0101034,
title = {The Calogero equation and Liouville type equations},
author = {Maxim Pavlov},
journal= {arXiv preprint arXiv:nlin/0101034},
year = {2007}
}
Comments
7 pages