On the properties of compacton-anticompacton collisions
Abstract
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.
Keywords
Cite
@article{arxiv.1105.1717,
title = {On the properties of compacton-anticompacton collisions},
author = {Andres Cardenas and Bogdan Mihaila and Fred Cooper and Avadh Saxena},
journal= {arXiv preprint arXiv:1105.1717},
year = {2015}
}
Comments
8 pages, 7 figures