This article is cited in 24 papers

Characteristic Lie algebra and classification of semidiscrete models

I. T. Habibullin^ab, A. Pekcan<sup>b

a</sup> Institute of Mathematics with Computing Centre, Ufa Science Centre, Russian Academy of Sciences
^b Bilkent University

Abstract: We study characteristic Lie algebras of semi-discrete chains and attempt to use this notion to classify Darboux-integrable chains.

Keywords: integrability, discrete equation, Liouville-type equation.

DOI: 10.4213/tmf6056

 English version: Theoretical and Mathematical Physics, 2007, 151:3, 781–790

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