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

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dc.creatorGottwald, Georg A.
dc.date2003-12-04
dc.date.accessioned2026-07-07T05:35:09Z
dc.date.available2026-07-07T05:35:09Z
dc.descriptionWe 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.
dc.description12 pages
dc.identifierhttps://arxiv.org/abs/nlin/0312009
dc.identifierhttp://arxiv.org/abs/nlin/0312009
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/80616
dc.subjectPattern Formation and Solitons
dc.titleThe Zakharov-Kuznetsov Equation as a Two-Dimensional Model for Nonlinear Rossby Waves
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