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Proceedings Paper

Nonlinear dynamics of semi-transparent equatorial waveguide
Author(s): Grigori M. Reznik; Vladimir Zeitlin
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Paper Abstract

The equatorial waveguide in the vicinity of the Earth equator in the ocean and atmosphere is a semi-transparent one since the systems contain both the wave modes trapped in this waveguide and the free modes freely propagating across the equator. Non-linear interactions between the trapped and free Rossby waves are studied using two-layer model of the ocean, or the atmosphere. It is shown that the free wave can resonantly excite a pair of the trapped ones with amplitudes much greater than its proper amplitude. In turn, the interaction between the excited trapped modes results in a non-linear scattering of the free wave on the wave guide. The envelopes of the baroclinic waves obey Gmzburg-Landau type equations and exhibit non-linear saturation and formation of characteristic "domain wall" and "dark soliton" defects.

Paper Details

Date Published: 3 February 2006
PDF: 9 pages
Proc. SPIE 5975, Topical Problems of Nonlinear Wave Physics, 597513 (3 February 2006); doi: 10.1117/12.675584
Show Author Affiliations
Grigori M. Reznik, P.P. Shirshov Institute of Oceanology (Russia)
Vladimir Zeitlin, LMD, Ecole Normale Superieure (France)

Published in SPIE Proceedings Vol. 5975:
Topical Problems of Nonlinear Wave Physics
Alexander M. Sergeev, Editor(s)

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