On some integrable discrete-time systems associated with the Bogoyavlensky lattices

Vassilios G. Papageorgiou and Frank W. Nijhoff

Physica A: Statistical Mechanics and its Applications, 1996, vol. 228, issue 1, 172-188

Abstract: A new class of integrable lattice systems is introduced which are the time-discretisations of the Bogoyavlensky systems. Finite-dimensional reductions of these systems are considered that give rise to integrable mappings. Furthermore, the similarity reduction is shown to lead to higher-order q-difference generalisations of the discrete Painlevé I equation.

Date: 1996
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:228:y:1996:i:1:p:172-188

DOI: 10.1016/0378-4371(95)00440-8

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