Geodesic
Fundamental mathematical structures of integrable models
Teoretičeskaâ i matematičeskaâ fizika, Tome 118 (1999) no. 3, pp. 405-412

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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. 
@article{TMF_1999_118_3_a10,
     author = {I. G. Korepanov},
     title = {Fundamental mathematical structures of integrable models},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {405--412},
     publisher = {mathdoc},
     volume = {118},
     number = {3},
     year = {1999},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1999_118_3_a10/}
}
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I. G. Korepanov. Fundamental mathematical structures of integrable models. Teoretičeskaâ i matematičeskaâ fizika, Tome 118 (1999) no. 3, pp. 405-412. http://geodesic.mathdoc.fr/item/TMF_1999_118_3_a10/