Nijhoff, F and Delice, N (2018) On elliptic Lax pairs and isomonodromic deformation systems for elliptic lattice equations. In: Konno, H, Sakai, H, Shiraishi, J, Suzuki, T and Yamada, Y, (eds.) Advanced Studies in Pure Mathematics, 76. RIMS 2015: Representation Theory, Special Functions and Painlevé Equations, 03-06 Mar 2015, Kyoto University, Japan. Mathematical Society of Japan, pp. 487-526. ISBN: 978-4-86497-050-1
Abstract
In a previous article [11] a novel class of elliptic Lax pairs for integrable lattice equations was introduced. The present article proposes a de-autonomisation of those Lax pairs leading to a class of elliptic discrete isomonodromic deformation problems. We analyse the systems of compatibility conditions using some (possibly novel) higher order
elliptic identities.
Metadata
| Item Type: | Proceedings Paper |
|---|---|
| Authors/Creators: |
|
| Editors: |
|
| Dates: |
|
| Institution: | The University of Leeds |
| Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Mathematics (Leeds) > Applied Mathematics (Leeds) |
| Depositing User: | Symplectic Publications |
| Date Deposited: | 16 Jun 2016 10:48 |
| Last Modified: | 11 Jun 2019 14:11 |
| Status: | Published |
| Publisher: | Mathematical Society of Japan |
| Identification Number: | 10.1142/e057 |
| Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:100939 |
CORE (COnnecting REpositories)
CORE (COnnecting REpositories)