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A previously developed general theory for the nonlinear evolution of external ideal MHD modes is applied to the special case of the m = n = 1 kink-mode in z-pinch equilibria with constant profile of the safety factor q. The Kruskal-Shafranov stability boundary q = - 1 eludes application of this theory since the kink-mode degenerates there. At the second stability boundary of the mode, stabilization as well as destabilization become possible depending on which values of the aspect ratio and the distance of a stabilizing wall are given.

Nonlinear Evolution of the m = n = 1 Kink-Mode in a Periodic z-Pinch