On the Korteweg — de Vries Equation and KAM Theory

Thomas Kappeler () and Jürgen Pöschel ()
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Thomas Kappeler: Universität Zürich, Institut für Mathematik
Jürgen Pöschel: Universität Stuttgart, Mathematisches Institut A

A chapter in Geometric Analysis and Nonlinear Partial Differential Equations, 2003, pp 397-416 from Springer

Abstract: Abstract In this note we give an overview of results concerning the Korteweg-de Vries equation $$ {\text{u}}_t {\text{ = - u}}_{xxx} {\text{ + 6uu}}_x $$ and small perturbations of it. All the technical details will be contained in our forthcoming book [27].

Keywords: Vries Equation; Invariant Torus; Quasiperiodic Solution; Birkhoff Normal Form; Nonlinear Schr6dinger Equation (search for similar items in EconPapers)
Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-55627-2_20

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DOI: 10.1007/978-3-642-55627-2_20

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