Novel formulation of inverse scattering and characterization of scattering data
DEMONTIS, FRANCESCO;VAN DER MEE, CORNELIS VICTOR MARIA
2011-01-01
Abstract
In this article we formulate the direct and inverse scattering theory for the focusing matrix Zakharov-Shabat system as the construction of a 1; 1-correspondence between focusing potentials with entries in L 1(ℝ) and Marchenko integral kernels, given the fact that these kernels encode the usual scattering data (one reflection coefficient, the discrete eigenvalues with positive imaginary part, and the corresponding norming constants) faithfully. In the reflectionless case, we solve the Marchenko equations explicitly using matrix triplets and obtain focusing matrix NLS solutions in closed form.File | Size | Format | |
---|---|---|---|
ProceedingsDresden_FINAL.pdf Solo gestori archivio
Type: versione editoriale
Size 305.1 kB
Format Adobe PDF
|
305.1 kB | Adobe PDF | & nbsp; View / Open Request a copy |
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.