Email this article Integrable Möbius-invariant evolutionary lattices of second order
- Authors: Adler V.E.1
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Affiliations:
- L. D. Landau Institute for Theoretical Physics
- Issue: Vol 50, No 4 (2016)
- Pages: 257-267
- Section: Article
- URL: https://journal-vniispk.ru/0016-2663/article/view/234232
- DOI: https://doi.org/10.1007/s10688-016-0157-9
- ID: 234232
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Abstract
We solve the classification problem for integrable lattices of the form u,t = f(u−2,..., u2) under the additional assumption of invariance with respect to the group of linear-fractional transformations. The obtained list contains five equations, including three new ones. Difference Miura-type substitutions are found, which relate these equations to known polynomial lattices. We also present some classification results for generic lattices.
About the authors
V. E. Adler
L. D. Landau Institute for Theoretical Physics
Author for correspondence.
Email: adler@itp.ac.ru
Russian Federation, Chernogolovka
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