On the solutions of the classical triangle equation related to the Landau–Lifschitz equation for non-homogeneous magnetics

A method due to Drinfeld and Belavin is used to construct deformations of classical $r$-matrices on semi-simple Lie algebras $\bigoplus\limits^N SU(2)$. These $r$-matrices are related to multi-component analogues of the Landau–Lifschitz equations which may be interpreted as models of one-dimensional magnets with several sublattices.