Numerical simulation of the stochastic Korteweg-de Vries equation

被引：99

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.

引用

页码：200 / 226

页数：27

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