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| Titel |
The interaction of free Rossby waves with semi-transparent equatorial waveguide – wave-mean flow interaction |
| VerfasserIn |
G. M. Reznik, V. Zeitlin |
| Medientyp |
Artikel
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| Sprache |
Englisch
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| ISSN |
1023-5809
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| Digitales Dokument |
URL |
| Erschienen |
In: Nonlinear Processes in Geophysics ; 16, no. 3 ; Nr. 16, no. 3 (2009-05-07), S.381-392 |
| Datensatznummer |
250013188
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| Publikation (Nr.) |
 copernicus.org/npg-16-381-2009.pdf |
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| Zusammenfassung |
| Nonlinear interactions of the barotropic Rossby waves propagating across the
equator with trapped baroclinic Rossby or Yanai modes and mean zonal flow are
studied within the two-layer model of the atmosphere, or the ocean. It is
shown that the equatorial waveguide with a mean current acts as a resonator
and responds to barotropic waves with certain wavenumbers by making the
trapped baroclinic modes grow. At the same time the equatorial waveguide
produces the barotropic response which, via nonlinear interaction with the
mean equatorial current and with the trapped waves, leads to the saturation
of the growing modes. The excited baroclinic waves can reach significant
amplitudes depending on the magnitude of the mean current. In the absence of
spatial modulation the nonlinear saturation of thus excited waves is
described by forced Landau-type equation with one or two attracting
equilibrium solutions. In the latter case the spatial modulation of the
baroclinic waves is expected to lead to the formation of characteristic
domain-wall defects. The evolution of the envelopes of the trapped Rossby
waves is governed by driven Ginzburg-Landau equation, while the envelopes of
the Yanai waves obey the "first-order" forced Ginzburg-Landau equation. The
envelopes of short baroclinic Rossby waves obey the damped-driven nonlinear
Schrodinger equation well studied in the literature. |
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