The Korteweg-de Vries equation and beyond
type: Item
instance of: scholarly article
title: The Korteweg-de Vries equation and beyond
zbMATH Open document ID: 0842.58045
DOI: 10.1007/BF00994638
published in: Acta Applicandae Mathematicae
publication date: 1996-08-04T00:00:00Z
review text: The author reviews a new method for linearizing the initial-boundary value problem of the Korteweg-de Vries (KdV) equation on the semi-infinite line for decaying initial and boundary data. The author also presents a novel class of physically important integrable equations. These equations, which include generalizations of the KdV, of the modified KdV, of the nonlinear Schrödinger and of the \(N\)-wave interactions, are as generic as their celebrated counterparts and it appears that they describe certain physical situations more accurately.
Mathematics Subject Classification ID: 37J35
Mathematics Subject Classification ID: 37K10
Mathematics Subject Classification ID: 35Q53
zbMATH DE Number: 790802
zbMATH Keywords: KdV equation
zbMATH Keywords: initial-boundary value problem
zbMATH Keywords: semi-infinite line
zbMATH Keywords: integrable equations
author: A. S. Fokas
reviewed by: Yoshihide Kozai
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf00994638
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description: scientific article; zbMATH DE number 790802