Integrable Möbius-invariant evolutionary lattices of second order

Integrable Möbius-invariant evolutionary lattices of second order

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-typ...

Full description

Saved in:
Bibliographic Details
Published in:Functional analysis and its applications Vol. 50; no. 4; pp. 257 - 267
Main Author: Adler, V. E.
Format: Journal Article
Language:English
Published: New York Springer US 01-10-2016
Springer Nature B.V
Subjects:
Analysis
Classification
Functional Analysis
Lattices
Mathematical analysis
Mathematics
Mathematics and Statistics
Möbius invariant
integrability
symmetry
cross-ratio
conservation law
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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.
ISSN:0016-2663
1573-8485
DOI:10.1007/s10688-016-0157-9