The Interaction of Long, Quasi-Stationary Baroclinic Waves with Topography

A. Patoine McGill University, Montreal Quebec, Canada

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T. Warn McGill University, Montreal Quebec, Canada

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Abstract

It is shown that the interaction of long, quasi-stationary baroclinic waves with topography can be described by an inhomogeneous Korteweg-deVries equation whose solutions exhibit a variety of phenomena familiar from the study of baroclinic waves in other contexts. In particular solutions involving lee waves and upstream influence, multiple equilibria and soliton-like phase shifts between solitary waves and topography have been found under various parameter settings.

Abstract

It is shown that the interaction of long, quasi-stationary baroclinic waves with topography can be described by an inhomogeneous Korteweg-deVries equation whose solutions exhibit a variety of phenomena familiar from the study of baroclinic waves in other contexts. In particular solutions involving lee waves and upstream influence, multiple equilibria and soliton-like phase shifts between solitary waves and topography have been found under various parameter settings.

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