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Fundamental mathematical structures of integrable models

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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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Authors and Affiliations

  1. South Ural State University, Chelyabinsk, Russia

    I. G. Korepanov

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  1. I. G. Korepanov
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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

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