The Calogero equation and Liouville type equations

Details The Calogero equation and Liouville type equations The Calogero equation and Liouville type equations

2001-01-19

arxiv.org/abs/nlin/0101034v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

7 pages

Scientific paper

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.

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