Riemann-Hilbert factorizations and inverse scattering for the AKNS- equation with \(L^ 1\)-potentials. I

DOI10.2977/prims/1195166423zbMath0803.35105OpenAlexW1966343795WikidataQ114039845 ScholiaQ114039845MaRDI QIDQ1322399

Jacek Szmigielski, Josef F. Dorfmeister

Publication date: 5 May 1994

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1195166423

zbMATH Keywords

scattering mapBanach Lie groupsRiemann-Hilbert splitting

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Group structures and generalizations on infinite-dimensional manifolds (58B25) Riemann-Hilbert problems in context of PDEs (35Q15)

Related Items (1)

Groups associated with a Grassmannian modelled on the Wiener algebra

Cites Work

• Loop groups and equations of KdV type
• Gauge theory of Bäcklund transformations. II
• Groups associated with a Grassmannian modelled on the Wiener algebra
• Systems of integral equations on a half line with kernels depending on the difference of arguments
• Scattering and inverse scattering for first order systems
• A FACTORIZATION PROBLEM IN NORMED RINGS, FUNCTIONS OF ISOMETRIC AND SYMMETRIC OPERATORS AND SINGULAR INTEGRAL EQUATIONS
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