Integrable Systems with Pairwise Interactions and Functional Equations

H. W. Braden; V. M. Buchstaber

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arXiv · hep-th/9411240

Integrable Systems with Pairwise Interactions and Functional Equations

H. W. Braden·V. M. Buchstaber

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Abstract

A new ansatz is presented for a Lax pair describing systems of particles on the line interacting via (possibly nonsymmetric) pairwise forces. Particular cases of this yield the known Lax pairs for the Calogero-Moser and Toda systems, as well as their relativistic generalisations. The ansatz leads to a system of functional equations. Several new functional equations are described and the general analytic solution to some of these is given. New integrable systems are described.

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BibTeX RIS

H. W. Braden, V. M. Buchstaber. 1996-04-18. Integrable Systems with Pairwise Interactions and Functional Equations. https://arxiv.org/abs/hep-th/9411240

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