We investigate the propagation of a wave--packet in the Ï•4 model. We
solve the time-dependent equation of motion for two distinct initial
conditions: The wave-packet in a trivial vacuum background and in the
background of the kink soliton solution. We extract the scattering matrix from
the wave-packet in the kink background at very late times and compare it with
the result from static potential scattering in the small amplitude
approximation. We vary the size of the initial wave-packet to identify
non-linear effects as, for example, the replacement of the center of the kink.Comment: 15 pages, 7 figures (from 14 eps files), 4 tables, Int. J. Mod. Phys.
A, in prin