1995/09/25 by Yunbo Zeng, Zeng, Yunbo
Economics, Econometrics and Finance · #Complex Systems and Time Series Analysis
paper · pdf · doi:10.48550/arxiv.solv-int/9509009
We show here the separability of Hamilton-Jacobi equation for a hierarchy of integrable Hamiltonian systems obtained from the constrained flows of the Jaulent-Miodek hierarchy. The classical Poisson structure for these Hamiltonian systems is constructed. The associated r-matrices depend not only on the spectral parameters, but also on the dynamical variables and, for consistency, have to obey the classical Yang-Baxter equations of dynamical type. Some new solutions of classical dynamical Yang-Baxter equations are presented. Thus these integrable systems provide examples both for the dynamical r-matrix and for the separable Hamiltonian system not having a natural Hamiltonian form.