Canonical variables for rossby waves and plasma drift waves

Vladimir E Zakharov, L. I. Piterbarg

Research output: Contribution to journalArticle

21 Citations (Scopus)

Abstract

The Poisson bracket defining a hamiltonian formulation of the Rossby wave equation is transformed to the Gardner bracket via a special functional change. The diagonal form of the bracket enables us to introduce the normal canonical variables in the considered hamiltonian system. The first terms of the hamiltonian expansion in powers of the canonical variables are calculated. The proposed method of the Poisson bracket diagonalization is relevant for other physically significant problems: barotropic waves above an uneven bottom, waves in the presence of a scalar nonlinearity and quasigeostrophic flow of a vertically stratified fluid, including the baroclinic effects of topography as dynamical boundary conditions.

Original languageEnglish (US)
Pages (from-to)497-500
Number of pages4
JournalPhysics Letters A
Volume126
Issue number8-9
DOIs
StatePublished - Jan 25 1988
Externally publishedYes

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plasma drift
brackets
planetary waves
wave equations
topography
nonlinearity
boundary conditions
scalars
formulations
expansion
fluids

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Canonical variables for rossby waves and plasma drift waves. / Zakharov, Vladimir E; Piterbarg, L. I.

In: Physics Letters A, Vol. 126, No. 8-9, 25.01.1988, p. 497-500.

Research output: Contribution to journalArticle

Zakharov, Vladimir E ; Piterbarg, L. I. / Canonical variables for rossby waves and plasma drift waves. In: Physics Letters A. 1988 ; Vol. 126, No. 8-9. pp. 497-500.
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