Canonical variables for rossby waves and plasma drift waves

V. E. Zakharov, L. I. Piterbarg

Research output: Contribution to journalArticlepeer-review

23 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
Pages (from-to)497-500
Number of pages4
JournalPhysics Letters A
Volume126
Issue number8-9
DOIs
Publication statusPublished - 25 Jan 1988
Externally publishedYes

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