  The wobbling kink is the soliton of the $\phi^4$ model with an excited
internal mode. We outline an asymptotic construction of this particle-like
solution that takes into account the coexistence of several space and time
scales. The breakdown of the asymptotic expansion at large distances is
prevented by introducing the long-range variables "untied" from the short-range
oscillations. We formulate a quantitative theory for the fading of the kink's
wobbling due to the second-harmonic radiation, explain the wobbling mode's
longevity and discuss ways to compensate the radiation losses. The compensation
is achieved by the spatially uniform driving of the kink, external or
parametric, at a variety of resonant frequencies. For the given value of the
driving strength, the largest amplitude of the kink's oscillations is sustained
by the {\it parametric\/} pumping --- at its natural wobbling frequency. This
type of forcing also produces the widest Arnold tongue in the "driving strength
versus driving frequency" parameter plane. As for the {\it external\/} driver
with the same frequency, it brings about an interesting rack and pinion
mechanism that converts the energy of external oscillation to the translational
motion of the kink.

Pattern Formation and Solitons