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

✍ Scribed by Vassilios G. Papageorgiou; Frank W. Nijhoff

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
900 KB
Volume
228
Category
Article
ISSN
0378-4371

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✦ Synopsis

A new class of integrable lattice systems is introduced which are the time-discretisations of the Rogoyavlensky 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 PainlevC I equation.

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