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Title: Wave Operators for Defocusing Matrix Zakharov-Shabat Systems with Pnonvanishing at Infinity
Authors: Demontis, Francesco
der Mee, Cornelis van
Keywords: Wave Operator
Zakharov-Shabat System
Scattering Operator
Issue Date: 2010
Publisher: Institute of Mathematics and Informatics Bulgarian Academy of Sciences
Citation: Serdica Mathematical Journal, Vol. 35, No 3, (2010), 265p-284p
Abstract: In this article we prove that the wave operators describing the direct scattering of the defocusing matrix Zakharov-Shabat system with potentials having distinct nonzero values with the same modulus at ± ∞ exist, are asymptotically complete, and lead to a unitary scattering operator. We also prove that the free Hamiltonian operator is absolutely continuous.
Description: 2000 Mathematics Subject Classification: Primary: 34L25; secondary: 47A40, 81Q10.
ISSN: 1310-6600
Appears in Collections:Volume 36, Number 3

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