The Zakharov-Kuznetsov Equation as a Two-Dimensional Model for Nonlinear Rossby Waves
نویسنده
چکیده
We derive the Zakharov-Kuznetsov equation for large scale motion from the barotropic quasigeostrophic equation in a weakly nonlinear, long wave approximation. We study the evolution of finite amplitude perturbations of an unstable jet in planetary atmospheres and oceans. We use multiple scale analysis combined with asymptotic matching. The Zakharov-Kuznetsov equation is suggestive that the perturbations may develop into coherent vortex-like structures. PACS numbers: 47.35.+i; 47.32.-y; 92.10.-c; 92.60.-e
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