Geodesic
A dynamical system connected with inhomogeneous $6$-vertex model
Zapiski Nauchnykh Seminarov POMI, Differential geometry, Lie groups and mechanics. Part 14, Tome 215 (1994), pp. 178-196

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A completely integrable dynamical system in discrete time is studied by means of algebraic geometry. The system is associated with factorization of a linear operator acting in a direct sum of three linear spaces into a product of three operators, each acting nontrivially only in a direct sum of two spaces, and the following reversing of the order of factors. There exists a reduction of the system interpreted as a classical field theory in $2+1$-dimensional space-time, the integrals of motion coinciding, in essence, with the statistical sum of an inhomogeneous $6$-vertex free-fermion model on the $2$-dimensional kagome lattice (here the statistical sum is a function of two parameters). Thus, a connection with the “local”, or “generalized”, quantum Yang–Baxter equation is revealed. Bibliography: 10 titles. 
@article{ZNSL_1994_215_a11,
     author = {I. G. Korepanov},
     title = {A dynamical system connected with inhomogeneous $6$-vertex model},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {178--196},
     publisher = {mathdoc},
     volume = {215},
     year = {1994},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1994_215_a11/}
}
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I. G. Korepanov. A dynamical system connected with inhomogeneous $6$-vertex model. Zapiski Nauchnykh Seminarov POMI, Differential geometry, Lie groups and mechanics. Part 14, Tome 215 (1994), pp. 178-196. http://geodesic.mathdoc.fr/item/ZNSL_1994_215_a11/