This article is cited in 6 papers

Fundamental mathematical structures of integrable models

I. G. Korepanov

South Ural State University

Abstract: We consider integrable models in a totally discrete multidimensional space–time. Dynamic variables are associated with cells into which the space is decomposed by a set of intersecting hyperplanes. We investigate the $(2+1)$-dimensional model related to the functional tetrahedron equation. We propose a method for constructing solutions of analogous models in higher dimensions.

DOI: 10.4213/tmf713

 English version: Theoretical and Mathematical Physics, 1999, 118:3, 319–324

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