Geodesic
Symmetries of a certain periodic chain
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Complex Analysis. Mathematical Physics, Tome 162 (2019), pp. 80-84

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We consider a periodic closure of a nonlinear integrable two-dimensional three-point chain. Integrability is understood in the sense that the chain admits a wide class of reductions, which are nonlinear hyperbolic Darboux integrable systems with two independent variables. We consider a system obtained as a period-$2$ periodic closure of one of two-dimensional three-point chains found within this framework. For this system, a second-order higher symmetry depending on two arbitrary functions is constructed.
Keywords: two-dimensional integrable chain, periodic chain, symmetry, Darboux integrable system, characteristic Lie ring. 
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     author = {M. N. Poptsova},
     title = {Symmetries of a certain periodic chain},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
     pages = {80--84},
     publisher = {mathdoc},
     volume = {162},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/INTO_2019_162_a7/}
}
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M. N. Poptsova. Symmetries of a certain periodic chain. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Complex Analysis. Mathematical Physics, Tome 162 (2019), pp. 80-84. http://geodesic.mathdoc.fr/item/INTO_2019_162_a7/