Wave Operators for Defocusing Matrix Zakharov-Shabat Systems with Pnonvanishing at Infinity

Demontis, Francesco, and der Mee, Cornelis van. "Wave Operators for Defocusing Matrix Zakharov-Shabat Systems with Pnonvanishing at Infinity." Serdica Mathematical Journal 35.3 (2010): 265-284. <http://eudml.org/doc/281505>.

@article{Demontis2010,
abstract = {2000 Mathematics Subject Classification: Primary: 34L25; secondary: 47A40, 81Q10.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.},
author = {Demontis, Francesco, der Mee, Cornelis van},
journal = {Serdica Mathematical Journal},
keywords = {Wave Operator; Zakharov-Shabat System; Scattering Operator; wave operator; Zakharov-Shabat system; scattering operator},
language = {eng},
number = {3},
pages = {265-284},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {Wave Operators for Defocusing Matrix Zakharov-Shabat Systems with Pnonvanishing at Infinity},
url = {http://eudml.org/doc/281505},
volume = {35},
year = {2010},
}

TY - JOUR
AU - Demontis, Francesco
AU - der Mee, Cornelis van
TI - Wave Operators for Defocusing Matrix Zakharov-Shabat Systems with Pnonvanishing at Infinity
JO - Serdica Mathematical Journal
PY - 2010
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 35
IS - 3
SP - 265
EP - 284
AB - 2000 Mathematics Subject Classification: Primary: 34L25; secondary: 47A40, 81Q10.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.
LA - eng
KW - Wave Operator; Zakharov-Shabat System; Scattering Operator; wave operator; Zakharov-Shabat system; scattering operator
UR - http://eudml.org/doc/281505
ER -