Wave-Packet Scattering off the Kink-Solution

Details Wave-Packet Scattering off the Kink-Solution Wave-Packet Scattering off the Kink-Solution

2011-06-17

arxiv.org/abs/1106.3497v2

Int.J.Mod.Phys.A26:3625-3640,2011

Nonlinear Sciences

Pattern Formation and Solitons

15 pages, 7 figures (from 14 eps files), 4 tables, Int. J. Mod. Phys. A, in print

Scientific paper

10.1142/S0217751X11054012

We investigate the propagation of a wave--packet in the $\phi^4$ 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.

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