Reduction of bi-Hamiltonian systems and separation of variables: An example from the Boussinesq hierarchy

Authors
Falqui, G Magri, F Tondo, G
Citation
G. Falqui et al., Reduction of bi-Hamiltonian systems and separation of variables: An example from the Boussinesq hierarchy, THEOR MATH, 122(2), 2000, pp. 176-192
Citations number
29
Categorie Soggetti
Physics
Journal title
THEORETICAL AND MATHEMATICAL PHYSICS
ISSN journal
00405779 → ACNP
Volume
122
Issue
2
Year of publication
2000
Pages
176 - 192
Database
ISI
SICI code
0040-5779(200002)122:2<176:ROBSAS>2.0.ZU;2-U
Abstract
We discuss the Boussinesq system with the stationary time t(5) within a gen eral framework of stationary flows of n-Gel'fand-Dickey hierarchies. A care ful use of the bi-Hamiltonian structure can provide a set of separation coo rdinates for the corresponding Hamilton-Jacobi equations.