Continuous integrable systems with multi-Poisson brackets

Journal Article · Mon Jun 01 00:00:00 EDT 1992 · Journal of Mathematical Physics (New York); (United States)

DOI:https://doi.org/10.1063/1.529629· OSTI ID:7235827

Okubo, S ^[1]

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1. Department of Physics and Astronomy, University of Rochester, Rochester, New York 14627 (United States)

For discrete finite systems, it is known that the zero Nijenhuis tensor condition can be used to explicitly construct conserved quantities in involution. Although the same method is not directly generalizable for continuous systems because of the divergence problem, the difficulty can be overcome with some minor modifications. In this way, various cases of KdV, nonlocal KdV, continuous Toda lattice, Kac--Moody hierarchy, and a model based upon a {ital W}{sub 3}-algebra systematically by the same technique can be discussed.

• DOE Contract Number: AC02-76ER13065
• OSTI ID: 7235827
• Journal Information: Journal of Mathematical Physics (New York); (United States), Vol. 33:6; ISSN 0022-2488
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
CLASSICAL MECHANICS
COMMUTATION RELATIONS
KORTEWEG-DE VRIES EQUATION
LIE GROUPS
TENSORS
DIFFERENTIAL EQUATIONS
EQUATIONS
MECHANICS
PARTIAL DIFFERENTIAL EQUATIONS
SYMMETRY GROUPS
661100* - Classical & Quantum Mechanics- (1992-)