Poisson structure of classical $XXZ$-chain

The canonical variables ($\gamma$-variables) for the quasiperiodic classical $XZ$-chain (the lattice Landau–Lifshits equation with the uniaxial anisotropy) are built. The approach proposed by the author for the $XYZ$ model i s used (Zap.Nauch.Semin.LOMI, 150 (1986) 154–180).