Poisson brackets for lagrangians linear in the velocity

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

Research output: Contribution to journalArticlepeer-review


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 languageEnglish (US)
Pages (from-to)13-19
Number of pages7
JournalLetters in Mathematical Physics
Issue number1
StatePublished - Jul 1985
Externally publishedYes

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics


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