A geometric approach to the separability of the Neumann-Rosochatius system

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We study the separability of the Neumann-Rosochatius system on the n-dimensional sphere using the geometry of bi-Hamiltonian manifolds. Its well-known separation variables are recovered by means of a separability condition relating the Hamiltonian with a suitable (1,1) tensor field on the sphere. This also allows us to iteratively construct the integrals of motion of the system.
LaTeX file, 14 pages

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Exactly Solvable and Integrable Systems, Differential Geometry

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http://salesiana.dossiersoluciones.com/handle/123456789/80527

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/nlin/0307021
 http://arxiv.org/abs/nlin/0307021

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arXiv