INTEGRABLE SYSTEMS WITH BELAVIN-DRINFELD R-MATRICES

A new completely integrable Hamilton n-particle system is presented. I ts Hamiltonian is defined as the second trace polynomial, H = 1/2tr(L2 ), of a particular Lax matrix L:R(2n) --> gl(n,R). H resembles the Tod a chain Hamiltonian, but differs by some additional, mixed terms of '' magnetic type''. L satisfies the R-matrix ansatz together with a parti cular constant R-matrix on gl(n,R) which is intimately related to the Belavin-Drinfeld construction.