Please use this identifier to cite or link to this item: http://hdl.handle.net/10525/2706

 Title: Wave Operators for Defocusing Matrix Zakharov-Shabat Systems with Pnonvanishing at Infinity Authors: Demontis, Francescoder Mee, Cornelis van Keywords: Wave OperatorZakharov-Shabat SystemScattering 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. URI: http://hdl.handle.net/10525/2706 ISSN: 1310-6600 Appears in Collections: Volume 36, Number 3

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