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

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

2003-12-04

arxiv.org/abs/nlin/0312009v1

Nonlinear Sciences

Pattern Formation and Solitons

12 pages

Scientific paper

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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