Geodesic
Hamiltonian structures for integrable field theory models. II. Models with $O(n)$ and $Sp(2k)$ symmetry on a one-dimensional lattice
Teoretičeskaâ i matematičeskaâ fizika, Tome 63 (1985) no. 2, pp. 197-207 Cet article a éte moissonné depuis la source Math-Net.Ru

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A new family of classical integrable systems with $O(n)$ and $Sp(2k)$ symmetry is found. It is shown that these systems can be regarded as lattice analogs of models of the nonlinear Schrödinger equation on symmetric spaces. An example of a $O(n)$-invariant classical discrete magnet with local Hamiltonian is constructed. 
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     author = {N. Yu. Reshetikhin},
     title = {Hamiltonian structures for integrable field theory models. {II.~Models} with $O(n)$ and $Sp(2k)$ symmetry on a~one-dimensional lattice},
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N. Yu. Reshetikhin. Hamiltonian structures for integrable field theory models. II. Models with $O(n)$ and $Sp(2k)$ symmetry on a one-dimensional lattice. Teoretičeskaâ i matematičeskaâ fizika, Tome 63 (1985) no. 2, pp. 197-207. http://geodesic.mathdoc.fr/item/TMF_1985_63_2_a3/

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