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.
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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 118, No. 3, pp. 405–412, March, 1999.
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Korepanov, I.G. Fundamental mathematical structures of integrable models. Theor Math Phys 118, 319–324 (1999). https://doi.org/10.1007/BF02557328
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DOI: https://doi.org/10.1007/BF02557328