A FINITE-DIFFERENCE SCHEME FOR THE K(2,2) COMPACTON EQUATION

Authors
DEFRUTOS J LOPEZMARCOS MA SANZSERNA JM
Citation
J. Defrutos et al., A FINITE-DIFFERENCE SCHEME FOR THE K(2,2) COMPACTON EQUATION, Journal of computational physics, 120(2), 1995, pp. 248-252
Citations number
5
Categorie Soggetti
Mathematical Method, Physical Science","Computer Science Interdisciplinary Applications","Physycs, Mathematical
Journal title
Journal of computational physics → ACNP
ISSN journal
00219991
Volume
120
Issue
2
Year of publication
1995
Pages
248 - 252
Database
ISI
SICI code
0021-9991(1995)120:2<248:AFSFTK>2.0.ZU;2-G
Abstract
The K(2, 2) equation, introduced by Rosenau and Hyman, is a wave equat ion that possesses solutions (compactons) that vanish outside a bounde d interval of the spatial axis. A finite difference scheme for this eq uation is suggested that can successfully cope with compacton interact ions leading to negative waves. We show rigorously that in those inter actions a loss of smoothness of the solution necessarily takes place. (C) 1995 Academic Press, Inc.