Abstract
We construct, using methods of symplectic geometry, Poisson brackets for a class of singular Lagrangians, introduced by Macfarlane. Examples of this construction are the Gardner Poisson bracket for the Korteweg-de Vries equation and the Poisson bracket for the Schrödinger equation.
Original language | English (US) |
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Pages (from-to) | 13-19 |
Number of pages | 7 |
Journal | Letters in Mathematical Physics |
Volume | 10 |
Issue number | 1 |
DOIs | |
State | Published - Jul 1985 |
Externally published | Yes |
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics