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 language | English (US) |
|---|---|
| Pages (from-to) | 497-500 |
| Number of pages | 4 |
| Journal | Physics Letters A |
| Volume | 126 |
| Issue number | 8-9 |
| DOIs | |
| State | Published - Jan 25 1988 |
| Externally published | Yes |
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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 journal › Article
}
TY - JOUR
T1 - Canonical variables for rossby waves and plasma drift waves
AU - Zakharov, Vladimir E
AU - Piterbarg, L. I.
PY - 1988/1/25
Y1 - 1988/1/25
N2 - 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.
AB - 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.
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UR - http://www.scopus.com/inward/citedby.url?scp=0008307350&partnerID=8YFLogxK
U2 - 10.1016/0375-9601(88)90046-1
DO - 10.1016/0375-9601(88)90046-1
M3 - Article
VL - 126
SP - 497
EP - 500
JO - Physics Letters, Section A: General, Atomic and Solid State Physics
JF - Physics Letters, Section A: General, Atomic and Solid State Physics
SN - 0375-9601
IS - 8-9
ER -