Characteristic Lie Algebra and Classification of Semi-Discrete Models

Nonlinear Sciences – Exactly Solvable and Integrable Systems

Scientific paper

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33 pages, corrected typos, submitted to the Proceedings of the workshop "Nonlinear Physics: Theory and Experiment IV", Theoret

Scientific paper

10.1007/s11232-007-0064-6

Characteristic Lie algebras of semi-discrete chains are studied. The attempt
to adopt this notion to the classification of Darboux integrable chains has
been undertaken.

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