Numerical simulation of the stochastic Korteweg-de Vries equation

Authors
Debussche, A Printems, J
Citation
A. Debussche et J. Printems, Numerical simulation of the stochastic Korteweg-de Vries equation, PHYSICA D, 134(2), 1999, pp. 200-226
Citations number
38
Categorie Soggetti
Physics
Journal title
PHYSICA D
ISSN journal
01672789 → ACNP
Volume
134
Issue
2
Year of publication
1999
Pages
200 - 226
Database
ISI
SICI code
0167-2789(19991020)134:2<200:NSOTSK>2.0.ZU;2-9
Abstract
In this work, we numerically investigate the influence of a homogeneous noi se on the evolution of solitons for the Korteweg-de Vries equation. Our num erical method is based on finite elements and least-squares. We present num erical experiments for different values of noise amplitude and describe dif ferent types of behaviours. (C) 1999 Elsevier Science B.V. All rights reser ved.