Solitary Rossby waves in zonal shear flows and their interactions

Details Solitary Rossby waves in zonal shear flows and their interactions Solitary Rossby waves in zonal shear flows and their interactions

May 1978

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978jats...35..790r&link_type=abstract

Journal of the Atmospheric Sciences, vol. 35, May 1978, p. 790-804.

Mathematics

7

Atmospheric Models, Jupiter Atmosphere, Korteweg-Devries Equation, Rossby Regimes, Shear Flow, Solitary Waves, Wave Interaction, Atmospheric Circulation, Barotropic Flow, Flow Distribution, Jupiter Red Spot, Mathematical Models

Scientific paper

Interactions of long-wave solitons propagating in shear flows are described by a coupled pair of Korteweg-de Vries equations. The basic equation of motion for the analysis is the quasi-geostrophic forecast equation, and the interaction of two wave modes is studied. The solution for mode 1-mode 2 interaction of solitary waves in an asymmetric shear flow of a barotropic atmosphere with divergence is constructed. Streamline patterns for certain flows are obtained. An unsteady solitary wave solution for a modified Korteweg-de Vries equation is derived.

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