On a generalization of systems of Calogero type
Russian journal of nonlinear dynamics, Tome 10 (2014) no. 2, pp. 209-212
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This paper is concerned with a three-body system on a straight line in a potential field proposed by Tsiganov. The Liouville integrability of this system is shown. Reduction and separation of variables are performed.
Keywords:
Calogero systems, reduction, integrable systems, Jacobi problem.
@article{ND_2014_10_2_a6,
author = {Ivan A. Bizyaev},
title = {On a generalization of systems of {Calogero} type},
journal = {Russian journal of nonlinear dynamics},
pages = {209--212},
publisher = {mathdoc},
volume = {10},
number = {2},
year = {2014},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ND_2014_10_2_a6/}
}
Ivan A. Bizyaev. On a generalization of systems of Calogero type. Russian journal of nonlinear dynamics, Tome 10 (2014) no. 2, pp. 209-212. http://geodesic.mathdoc.fr/item/ND_2014_10_2_a6/