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The Zakharov-Kuznetsov Equation as a Two-Dimensional Model for Nonlinear Rossby Waves

Georg A. Gottwald
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Abstract

We study the dynamics of two-dimensional coherent structures in planetary atmospheres and oceans. We derive the Zakharov-Kuznetsov equation for large scale motion from the barotropic quasigeostrophic equation in a weakly nonlinear, long wave approximation. We consider coherent structures emerging out of an instability caused by a narrow jet-like meanflow. We use multiple scale analysis combined with asymptotic matching.

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Georg A. Gottwald. 2003-12-04. The Zakharov-Kuznetsov Equation as a Two-Dimensional Model for Nonlinear Rossby Waves. https://arxiv.org/abs/nlin/0312009

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