Gaussian limiting behavior of the rescaled solution to the linear Korteweg-de Vries equation with random initial conditions
type: Item
instance of: scholarly article
title: Gaussian limiting behavior of the rescaled solution to the linear Korteweg-de Vries equation with random initial conditions
zbMATH Open document ID: 0962.35198
DOI: 10.1023/A:1018687327580
author: L. Beghin
author: V. Knopova
author: Nikolai N. Leonenko
author: Enzo Orsingher
published in: Journal of Statistical Physics
publication date: 2000-10-08T00:00:00Z
review text: This paper presents solutions of linear KdV equation with weakly dependent random initial conditions. It proves limit theorems for nonlinear transformations of associated Gaussian random fields.
Mathematics Subject Classification ID: 35R60
Mathematics Subject Classification ID: 35Q53
Mathematics Subject Classification ID: 60F05
Mathematics Subject Classification ID: 60H15
zbMATH DE Number: 1514677
zbMATH Keywords: KdV equation
zbMATH Keywords: Gaussian processes
zbMATH Keywords: covariance function
reviewed by: Murali Rao
MaRDI profile type: Publication
full work available at URL: a:1018687327580
OpenAlex ID: W209290136
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description: scientific article; zbMATH DE number 1514677