Nonlinear dynamics of semi-transparent equatorial waveguide

Grigori M. Reznik; Vladimir Zeitlin

doi:10.1117/12.675584

3 February 2006 Nonlinear dynamics of semi-transparent equatorial waveguide

Grigori M. Reznik, Vladimir Zeitlin

Proceedings Volume 5975, Topical Problems of Nonlinear Wave Physics; 597513 (2006) https://doi.org/10.1117/12.675584
Event: Topical Problems of Nonlinear Wave Physics, 2005, St. Petersburg, Russian Federation

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.

Citation Download Citation

Grigori M. Reznik and Vladimir Zeitlin "Nonlinear dynamics of semi-transparent equatorial waveguide", Proc. SPIE 5975, Topical Problems of Nonlinear Wave Physics, 597513 (3 February 2006); https://doi.org/10.1117/12.675584

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