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Functional Analysis and Its Applications

, Volume 50, Issue 4, pp 257–267 | Cite as

Integrable Möbius-invariant evolutionary lattices of second order

  • V. E. Adler
Article

Abstract

We solve the classification problem for integrable lattices of the form u, t = f(u −2,..., u 2) 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.

Key words

integrability symmetry conservation law Möbius invariant cross-ratio 

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Copyright information

© Springer Science+Business Media New York 2016

Authors and Affiliations

  1. 1.L. D. Landau Institute for Theoretical PhysicsChernogolovkaRussia

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