NUMERICAL SIMULATIONS OF KLEIN-GORDON SOLITARY-WAVE INTERACTIONS

Citation
Si. Zaki et al., NUMERICAL SIMULATIONS OF KLEIN-GORDON SOLITARY-WAVE INTERACTIONS, Nuovo cimento della Societa italiana di fisica. B, Relativity, classical and statistical physics, 112(7), 1997, pp. 1027-1036
Citations number
11
Categorie Soggetti
Physics
ISSN journal
11241888
Volume
112
Issue
7
Year of publication
1997
Pages
1027 - 1036
Database
ISI
SICI code
1124-1888(1997)112:7<1027:NSOKSI>2.0.ZU;2-F
Abstract
Solutions of a non-linear Klein-Gordon equation are studied numericall y using a cubic B-spline finite-element method. Test results indicate that, when solitary waves interact, the final state obtained depends o n their relative velocity. The simulations confirm existing observatio ns and produce new results. The numerical algorithm developed is effic ient with an undemanding stability criterion.