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.
|Titolo:||Wave operators for defocusing matrix Zakharov-Shabat systems with potentials nonvanishing at infinity|
|Data di pubblicazione:||2010|
|Tipologia:||1.1 Articolo in rivista|