Solution of a nonisospectral and variable coefficient Korteweg-de Vries equation
type: Item
instance of: scholarly article
title: Solution of a nonisospectral and variable coefficient Korteweg-de Vries equation
zbMATH Open document ID: 0656.35138
DOI: 10.1007/BF00402138
author: S. H. Smith
published in: Letters in Mathematical Physics
publication date: 1987-01-01T00:00:00Z
review text: A new type of KdV equation with a nonisospectral Lax pair as well as variable coefficients is introduced. Its Lax pair is shown to be invariant under the Crum transformation. This leads to a Bäcklund transformation for the KdV equation and, hence, a method for solutions via an associated nonisospectral variable coefficients MKdV equation. Three generations of solutions are given. The 1-soliton solution shares the novel phenomenology associated with the boomeron, trappon, and zoomeron of Calogero and Degasperis.
Mathematics Subject Classification ID: 35Q99
Mathematics Subject Classification ID: 35A30
zbMATH DE Number: 4071546
zbMATH Keywords: Korteweg-de Vries equation
zbMATH Keywords: Lax pair
zbMATH Keywords: variable coefficients
zbMATH Keywords: Bäcklund transformation
zbMATH Keywords: nonisospectral variable coefficients
zbMATH Keywords: soliton
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf00402138
OpenAlex ID: W2088409011
description: scientific article; zbMATH DE number 4071546