Commutation Relations and Discrete Garnier Systems

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2016
• ISSN: 1815-0659
• Main Authors: Ormerod, C.M., Rains, E.M.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2016
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/148532
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Commutation Relations and Discrete Garnier Systems / C. M. Ormerod, E. M. Rains // Symmetry, Integrability and Geometry: Methods and Applications. — 2016. — Т. 12. — Бібліогр.: 56 назв. — англ.

We present four classes of nonlinear systems which may be considered discrete analogues of the Garnier system. These systems arise as discrete isomonodromic deformations of systems of linear difference equations in which the associated Lax matrices are presented in a factored form. A system of discr...