Poisson brackets for lagrangians linear in the velocity

M. J. Bergvelt; E. A. De Kerf

doi:10.1007/BF00704581

Poisson brackets for lagrangians linear in the velocity

M. J. Bergvelt, E. A. De Kerf

Research output: Contribution to journal › Article › peer-review

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)
Pages (from-to)	13-19
Number of pages	7
Journal	Letters in Mathematical Physics
Volume	10
Issue number	1
DOIs	https://doi.org/10.1007/BF00704581
State	Published - Jul 1985
Externally published	Yes

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

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10.1007/BF00704581

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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 Schr{\"o}dinger equation.",

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Poisson brackets for lagrangians linear in the velocity

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