2016/04/29 by V. E. Adler, V. É. Adler
Mathematics · Physics and Astronomy · #Advanced Differential Equations and Dynamical Systems #Algebra over a field #Fractional Differential Equations Solutions #Integrable system #Invariant (physics) #Lattice (music) #Mathematical analysis #Mathematical physics #Mathematics #Nonlinear Waves and Solitons #Order (exchange) #Physics #Polynomial #Pure mathematics #msc:37K10 #msc:37K35 #nlin.SI
paper · pdf · doi:10.1007/s10688-016-0157-9
published as Functional Analysis and Its Applications 2016, Volume 50, Issue 4, pp 257-267 · 14 pages
arxiv created 2016/04/29 · openalex publication_date 2016/10/01 · arxiv updated 2017/05/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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 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.