Riemann-Hilbert factorizations and inverse scattering for the AKNS- equation with \(L^ 1\)-potentials. I
type: Item
instance of: scholarly article
title: Riemann-Hilbert factorizations and inverse scattering for the AKNS- equation with \(L^ 1\)-potentials. I
zbMATH Open document ID: 0803.35105
author: Jacek Szmigielski
author: Josef F. Dorfmeister
published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University
publication date: 1994-05-05T00:00:00Z
review text: Summary: A detailed group theoretic approach is developed for the \(2 \times 2\) AKNS system with potentials supported on the half-line. This approach uses consistently Riemann-Hilbert splittings interpreted as factorizations in certain Banach Lie groups. In particular, it is shown how meromorphic splittings introduced by Beals and Coifman can be replaced with regular Riemann-Hilbert splittings leading to the group theoretic notion of a scattering data.
Mathematics Subject Classification ID: 35Q15
Mathematics Subject Classification ID: 35Q53
Mathematics Subject Classification ID: 58B25
zbMATH DE Number: 562832
zbMATH Keywords: Riemann-Hilbert splitting
zbMATH Keywords: Banach Lie groups
zbMATH Keywords: scattering map
MaRDI profile type: Publication
Wikidata QID: Q114039845
full work available at URL: https://doi.org/10.2977/prims/1195166423
OpenAlex ID: W1966343795
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DOI: 10.2977/PRIMS/1195166423
description: scientific article; zbMATH DE number 562832