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nlin.SI2003★ 14 cited
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★ 40 cited
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…