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Multicomponent equations associated to non-isospectral scattering problems

Clarkson, Peter, Gordoa, Pilar R., Pickering, Andrew (1997) Multicomponent equations associated to non-isospectral scattering problems. Inverse Problems, 13 (6). pp. 1463-1476. ISSN 0266-5611. (doi:10.1088/0266-5611/13/6/004) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:18355)

The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided.
Official URL
http://dx.doi.org/10.1088/0266-5611/13/6/004

Abstract

We consider a non-isospectral scattering problem having as its spatial part an energy-dependent Schrodinger operator. This gives rise to new completely integrable multicomponent systems of equations in (2 + 1) dimensions. Their reductions to systems in (1 + 1) dimensions have isospectral scattering problems and include multicomponent extensions of the AKNS equation and also a generalization of the Dym equation. An extension of the Fuchssteiner-Fokas-Camassa-Holm equation to (2 + 1) dimensions is also presented.

Item Type: Article
DOI/Identification number: 10.1088/0266-5611/13/6/004
Depositing User: T. Nasir
Date Deposited: 25 Oct 2009 11:08 UTC
Last Modified: 16 Nov 2021 09:56 UTC
Resource URI: https://kar.kent.ac.uk/id/eprint/18355 (The current URI for this page, for reference purposes)
Clarkson, Peter: https://orcid.org/0000-0002-8777-5284
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