An Explicit Characterization of Calogero--Moser Systems

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Combining theorems of Halphen, Floquet, and Picard and a Frobenius type analysis, we characterize rational, meromorphic simply periodic, and elliptic KdV potentials. In particular, we explicitly describe the proper extension of the Calogero--Moser locus associated with these three classes of algebro-geometric solutions of the KdV hierarchy with special emphasis on the case of multiple collisions between the poles of solutions.
LaTeX, 52 pages

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Exactly Solvable and Integrable Systems

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http://salesiana.dossiersoluciones.com/handle/123456789/80490

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/nlin/0305057
 http://arxiv.org/abs/nlin/0305057

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arXiv