Characteristic Lie Algebras of Integrable Differential-Difference Equations in 3D
I. T. Habibullin,
A. R. Khakimova
Abstract:The purpose of this article is to develop an algebraic approach to the problem of integrable classification of differential-difference equations with one continuous and two discrete variables. As a classification criterion, we put forward the following hypothesis. Any integrable equation of the type under consideration admits an infinite sequence of finite-field Darboux-integrable reductions. The property of Darboux integrability of a finite-field system is formalized as finite-dimensionality condition of its … Show more
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