Numerical simulation of the stochastic Korteweg-de Vries equation

被引：94
|
作者：
Debussche, A
Printems, J
机构：
[1] Univ Paris Sud, Anal Numer Lab, F-91405 Orsay, France
[2] Univ Paris Sud, EDP Orsay, F-91405 Orsay, France
[3] CNRS, F-91405 Orsay, France
[4] Univ Paris 13, Lab Analyse Geometrie & Applicat, Inst Galilee, F-93430 Villetaneuse, France
[5] CNRS, F-93430 Villetaneuse, France
来源：
PHYSICA D-NONLINEAR PHENOMENA | 1999年 / 134卷 / 02期
关键词：
D O I：
10.1016/S0167-2789(99)00072-X
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this work, we numerically investigate the influence of a homogeneous noise on the evolution of solitons for the Korteweg-de Vries equation. Our numerical method is based on finite elements and least-squares. We present numerical experiments for different values of noise amplitude and describe different types of behaviours. (C) 1999 Elsevier Science B.V. All rights reserved.
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页码：200 / 226
页数：27
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