A discrete multiple scales analysis of a discrete version of the Korteweg-de Vries equation
type: Item
instance of: scholarly article
title: A discrete multiple scales analysis of a discrete version of the Korteweg-de Vries equation
zbMATH Open document ID: 0764.65078
DOI: 10.1016/0021-9991(92)90042-W
published in: Journal of Computational Physics
publication date: 1993-01-17T00:00:00Z
review text: As compared to earlier work, a more elaborate discrete multiple scales analysis of the Zabusky-Kruskal discretization of the Korteweg-de Vries equation (KdV) is made, leading to a set of partial differential equations describing the modulations behaviour of a small harmonic wave modulated by a slowly varying envelope. The paper reports one type of spurious solution of the difference scheme, which occurs for certain choices of the parameters in KdV equation and for specific wave numbers of the carrier wave.
Mathematics Subject Classification ID: 65Z05
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 35Q53
zbMATH DE Number: 97190
zbMATH Keywords: Korteweg-de Vries equation
zbMATH Keywords: discrete multiple scales analysis
zbMATH Keywords: Zabusky- Kruskal discretization
zbMATH Keywords: harmonic wave
zbMATH Keywords: spurious solution
zbMATH Keywords: difference scheme
zbMATH Keywords: wave numbers
author: Schalk W. Schoombie
reviewed by: V. P. Tyagi
MaRDI profile type: Publication
cites work: Q3961178
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description: scientific article; zbMATH DE number 97190