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nlin.SI2003
Integrable systems on related with XXX spin chains with boundaries
A. V. Tsiganov, O. V. Goremykin
We consider two-site XXX Heisenberg magnets with different boundary conditions, which are integrable systems on so(4) possessing additional cubic and quartic integrals of motion. T…
nlin.SI2003
Poisson maps and integrable deformations of Kowalevski top
I. V. Komarov, V. V. Sokolov, A. V. Tsiganov
We construct a Poisson map between manifolds with linear Poisson brackets corresponding to the Lie algebras and . Using this map we establish a connection between the…