Geodesic
Wave Operators for Defocusing Matrix Zakharov-Shabat Systems with Pnonvanishing at Infinity
Serdica Mathematical Journal, Tome 35 (2010) no. 3, pp. 265-284

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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.
Keywords: Wave Operator, Zakharov-Shabat System, Scattering Operator 
Demontis, Francesco; der Mee, Cornelis van. Wave Operators for Defocusing Matrix Zakharov-Shabat Systems with Pnonvanishing at Infinity. Serdica Mathematical Journal, Tome 35 (2010) no. 3, pp. 265-284. http://geodesic.mathdoc.fr/item/SMJ2_2010_35_3_a5/
@article{SMJ2_2010_35_3_a5,
     author = {Demontis, Francesco and der Mee, Cornelis van},
     title = {Wave {Operators} for {Defocusing} {Matrix} {Zakharov-Shabat} {Systems} with {Pnonvanishing} at {Infinity}},
     journal = {Serdica Mathematical Journal},
     pages = {265--284},
     year = {2010},
     volume = {35},
     number = {3},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SMJ2_2010_35_3_a5/}
}
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