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arXiv · 1605.00018

Integrable Möbius invariant evolutionary lattices of second order

V. E. Adler
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Abstract

We solve the classification problem for integrable lattices of the form $u_{,t}=f(u_{-2},\dots,u_2)$ under the additional assumption of invariance with respect to the group of linear-fractional transformations. The obtained list contains 5 equations, including 3 new. Difference Miura type substitutions are found which relate these equations with known polynomial lattices. We also present some classification results for the generic lattices.

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V. E. Adler. 2016-04-29. Integrable Möbius invariant evolutionary lattices of second order. https://doi.org/10.1007/s10688-016-0157-9

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