Mathematics Colloquia and Seminars
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Equatorial/Midlatitude teleconnections via nonlinearly coupled KdV equationsStudent-Run Applied & Math Seminar
|Speaker: ||Alexander Sheynis, UC Davis|
|Location: ||2112 MSB|
|Start time: ||Wed, Dec 2 2009, 12:10PM|
Interactions between the equator and midlatitudes are an ongoing research problem intended toward producing better forecasting for midlatitudes. These teleconnections are examined as resonance between amplitudes of the Rossby baroclinic modes and the Rossby barotropic mode in the long wave limit, producing (in the moving frame of reference) nonlinearly coupled amplitude equations. A linear transformation recasts them into a coupled set of KdV equations in which the invariant subspaces produce soliton solutions. I will sketch the derivation of the equations and discuss the soliton interactions resulting from the analysis.