title: Properties of compacton-anticompacton collisions.
abstract: We study the properties of compacton-anticompacton collision processes. We compare and contrast 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 Padé 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 "annihilation" 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 wave form.
authors.affiliation: Materials Science and Technology Division, Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA. andres.cardenas@nyu.edu
authors.forename: Andres
authors.initials: A
authors.lastname: Cardenas
authors.forename: Bogdan
authors.initials: B
authors.lastname: Mihaila
authors.forename: Fred
authors.initials: F
authors.lastname: Cooper
authors.forename: Avadh
authors.initials: A
authors.lastname: Saxena