2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/213854The method of multiple scales is used to study the wobbling kink of the $ϕ^4$ equation. The amplitude of the wobbling is shown to decay very slowly, as $t^{-1/2}$, and hence the wobbler turns out to be an extremely long-lived object.10 pages, 1 figure. Part of a talk given at the workshop "Nonlinear Physics. Theory and Experiment. V", Gallipoli (Lecce), June 12-21 (2008)Pattern Formation and Solitonstext