The Zakharov-Kuznetsov Equation as a Two-Dimensional Model for Nonlinear Rossby Waves
Pattern Formation and Solitons
2007-05-23 v1
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.
Keywords
Cite
@article{arxiv.nlin/0312009,
title = {The Zakharov-Kuznetsov Equation as a Two-Dimensional Model for Nonlinear Rossby Waves},
author = {Georg A. Gottwald},
journal= {arXiv preprint arXiv:nlin/0312009},
year = {2007}
}
Comments
12 pages