Characteristic Lie rings, finitely-generated modules and integrability conditions for 2+1 dimensional lattices

2012/08/31 by Ismagil Habibullin · 2 citations
Physics and Astronomy · #msc:35Q99 #nlin.SI

paper · pdf · doi:10.1088/0031-8949/87/06/065005

11 pages

arxiv created 2012/10/07 · arxiv updated 2015/06/11

Abstract

Characteristic Lie rings for Toda type 2+1 dimensional lattices are defined. Some properties of these rings are studied. Infinite sequence of special kind modules are introduced. It is proved that for known integrable lattices these modules are finitely generated. Classification algorithm based on this observation is briefly discussed.

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• Discrete integrable equations with three independent variables
• On the symmetry classification of integrable chains in 3D. Darboux-integrable reductions and their higher symmetries

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