Multi-Hamiltonian Structure of Lotka-Volterra and Quantum Volterra Models
arXiv:hep-th/9412122 · doi:10.1016/0550-3213(95)00152-I
Abstract
We consider evolution equations of the Lotka-Volterra type, and elucidate especially their formulation as canonical Hamiltonian systems. The general conditions under which these equations admit several conserved quantities (multi-Hamiltonians) are analysed. A special case, which is related to the Liouville model on a lattice, is considered in detail, both as aclassical and as aquantal system
14 pages