MULTIPLE HAMILTONIAN STRUCTURES FOR TODA-TYPE SYSTEMS

Authors
DAMIANOU PA
Citation
Pa. Damianou, MULTIPLE HAMILTONIAN STRUCTURES FOR TODA-TYPE SYSTEMS, Journal of mathematical physics, 35(10), 1994, pp. 5511-5541
Citations number
46
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
Journal title
Journal of mathematical physics → ACNP
ISSN journal
00222488
Volume
35
Issue
10
Year of publication
1994
Pages
5511 - 5541
Database
ISI
SICI code
0022-2488(1994)35:10<5511:MHSFTS>2.0.ZU;2-#
Abstract
Results on the finite nonperiodic Toda lattice are extended to some ge neralizations of the system: The relativistic Toda lattice, the genera lized Toda lattice associated with simple Lie groups and the full Kost ant-Toda lattice. The areas investigated include master symmetries, re cursion operators, higher Poisson brackets, invariants, and group symm etries for the systems. A survey of previous work on the classical Tod a lattice is also included.