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Geometry of KdV (1): Addition and the Unimodular Spectral Classes

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Part of the Contemporary Mathematicians book series (CM)

Abstract

This is the first of three papers on the geometry of KDV. It presents what purports to be a foliation of an extensive function space into which all known invariant manifolds of KDV fit naturally as special leaves. The two main themes are addition (each leaf has its private one) and unimodular spectral classes (each leaf has a spectral interpretation), but first a bit of background.

Keywords

Frequency Module Present Article Function Space Main Theme Spectral Theory 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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© Springer International Publishing Switzerland 2015

Authors and Affiliations

  1. 1.Courant InstituteNew York UniversityNew YorkUSA

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