A TRI-HAMILTONIAN FORMULATION OF THE FULL KOSTANT-TODA LATTICE

Authors
DAMIANOU PA PASCHALIS P SOPHOCLEOUS C
Citation
Pa. Damianou et al., A TRI-HAMILTONIAN FORMULATION OF THE FULL KOSTANT-TODA LATTICE, letters in mathematical physics, 34(1), 1995, pp. 17-24
Citations number
19
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
Journal title
letters in mathematical physics → ACNP
ISSN journal
03779017
Volume
34
Issue
1
Year of publication
1995
Pages
17 - 24
Database
ISI
SICI code
0377-9017(1995)34:1<17:ATFOTF>2.0.ZU;2-4
Abstract
We define Poisson structures which lead to a tri-Hamiltonian formulati on for the full Kostant-Toda lattice. In addition, a hierarchy of vect or fields called master symmetries are constructed and they are used t o generate the nonlinear Poisson brackets and other invariants. Variou s deformation relations are investigated. The results are analogous to results for the finite nonperiodic Toda lattice.