  We study the properties of compacton-anticompacton collision processes. We
compare and con- trast results for the case of compacton-anticompacton
solutions of the K(l, p) Rosenau-Hyman (RH) equation for l = p = 2, with
compacton-anticompacton solutions of the L(l,p) Cooper-Shepard- Sodano (CSS)
equation for p = 1 and l = 3. This study is performed using a Pad\'e
discretization of the RH and CSS equations. We find a significant difference in
the behavior of compacton- anticompacton scattering. For the CSS equation, the
scattering can be interpreted as "annihila- tion" as the wake left behind
dissolves over time. In the RH equation, the numerical evidence is that
multiple shocks form after the collision which eventually lead to "blowup" of
the resulting waveform.
