A symplectic realization of the Volterra lattice
Ημερομηνία
2005Source
Journal of Physics A: Mathematical and GeneralVolume
38Issue
28Pages
6327-6334Google Scholar check
Metadata
Εμφάνιση πλήρους εγγραφήςΕπιτομή
We examine the multiple Hamiltonian structure and construct a symplectic realization of the Volterra model. We rediscover the hierarchy of invariants, Poisson brackets and master symmetries via the use of a recursion operator. The rational Volterra bracket is obtained using a negative recursion operator. © 2005 IOP Publishing Ltd.