Scattering Operators for Matrix Zakharov-Shabat Systems

Scattering Operators for Matrix Zakharov-Shabat Systems

. In this article the scattering matrix pertaining to the defocusing matrix Zakharov-Shabat system on the line is related to the scattering operator arising from time-dependent scattering theory. Further, the scattering data allowing for a unique retrieval of the potential in the defocusing matrix Z...

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Veröffentlicht in:Integral equations and operator theory 2008-12, Vol.62 (4), p.517-540
Hauptverfasser: Demontis, Francesco, van der Mee, Cornelis
Format: Artikel
Sprache:eng
Schlagworte:
Analysis
Mathematics
Mathematics and Statistics
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Zusammenfassung:. In this article the scattering matrix pertaining to the defocusing matrix Zakharov-Shabat system on the line is related to the scattering operator arising from time-dependent scattering theory. Further, the scattering data allowing for a unique retrieval of the potential in the defocusing matrix Zakharov-Shabat system are characterized.
ISSN:0378-620X
1420-8989
DOI:10.1007/s00020-008-1640-3