The Calogero equation and Liouville type equations

@inproceedings{VPavlov2008TheCE,
title={The Calogero equation and Liouville type equations},
author={Maxim V.Pavlov},
year={2008}
}

Maxim V.Pavlov

Published 2008

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.

On initial values problem in theory of the second order ordinary differential equations. Proceedings of the Workshop on Nonlinearity, Integrability and All That: Twenty Years after NEEDS ’79

Dryuma, Valerii

(Gallipoli,

1999

1 Excerpt

Transformations for the Camassa-Holm equation, its high-frequency limit and the Sinh-Gordon equation