Stable solitary vortices in two-dimensional quasi-integrable systems

Abstract

Abstract Some solitary vortices to 2+1 quasi-integrable systems are discussed in the context of the planetary atmosphere. The Williams-Yamagata-Flierl (WYF) equation is one of the best candidates for the great red spot. We calculate the long-term simulation of the equation and find that the stable vortex is supported by a background zonal flow of a certain strength. The Zakharov-Kuznetsov (ZK) equation is a mimic of the WYF equation and considerably owes a great deal of its stability to the vortex. To learn more about the origin of longevity, we investigate the Painlevé test of the static ZK equation.