AUTOMORPHISMS OF BANACH MANIFOLDS ASSOCIATED WITH THE KP-EQUATION

DOI10.1093/qmath/40.2.161zbMath0686.58007OpenAlexW2051316182MaRDI QIDQ4204831

Erhard Neher, Josef F. Dorfmeister, Jacek Szmigielski

Publication date: 1989

Published in: The Quarterly Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/qmath/40.2.161

zbMATH Keywords

Fredholm operatorBanach Lie groupsGrassmannian manifoldbiholomorphic mapsautomorphism of a Banach manifoldKP-equations

Mathematics Subject Classification ID

Groups of diffeomorphisms and homeomorphisms as manifolds (58D05) Partial differential equations of mathematical physics and other areas of application (35Q99) Group structures and generalizations on infinite-dimensional manifolds (58B25)

Related Items (14)

Principal fiber bundle interpretation of the KP-hierarchy ⋮ Projective completions of Jordan pairs. I: The generalized projective geometry of a Lie algebra ⋮ The structure of Hilbert flag varieties ⋮ On the ubiquitous Gelfand-Levitan-Marčenko (GLM) equation ⋮ Quasi-symmetric functions and the KP hierarchy ⋮ Some connections between inverse scattering and solution hierarchies ⋮ Negative Flows of the potential KP-hierarchy ⋮ Weighted l₁ ‐ Grassmannians and Banach Manifolds of Solutions of the KP‐ Equation and the KdV‐Equation ⋮ Automorphisms of the KdV-subvariety ⋮ Burgers and Kadomtsev-Petviashvili hierarchies: a functional representation approach ⋮ Isometric embeddings of infinite-dimensional Grassmannians ⋮ Non-linear partial differential equations via vector fields on homogeneous Banach manifolds ⋮ Projective completions of Jordan pairs. II: Manifold structures and symmetric spaces ⋮ Groups associated with a Grassmannian modelled on the Wiener algebra

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