Geometry of KDV (1): Addition and the unimodular spectral classes.

Henry P. McKean

Revista Matemática Iberoamericana (1986)

  • Volume: 2, Issue: 3, page 235-261
  • ISSN: 0213-2230

Abstract

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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 unimodal spectral classes (each leaf has a spectral interpretation).

How to cite

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McKean, Henry P.. "Geometry of KDV (1): Addition and the unimodular spectral classes.." Revista Matemática Iberoamericana 2.3 (1986): 235-261. <http://eudml.org/doc/39327>.

@article{McKean1986,
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 unimodal spectral classes (each leaf has a spectral interpretation).},
author = {McKean, Henry P.},
journal = {Revista Matemática Iberoamericana},
keywords = {Operadores; Espectros; Foliaciones; eigenfunction; Hill's operator; geometry of KdV; foliation; extensive function space; invariant manifolds; addition; Darboux transformation; Schrödinger operator; unimodular spectral classes; unimodular spectral class; spectral weight},
language = {eng},
number = {3},
pages = {235-261},
title = {Geometry of KDV (1): Addition and the unimodular spectral classes.},
url = {http://eudml.org/doc/39327},
volume = {2},
year = {1986},
}

TY - JOUR
AU - McKean, Henry P.
TI - Geometry of KDV (1): Addition and the unimodular spectral classes.
JO - Revista Matemática Iberoamericana
PY - 1986
VL - 2
IS - 3
SP - 235
EP - 261
AB - 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 unimodal spectral classes (each leaf has a spectral interpretation).
LA - eng
KW - Operadores; Espectros; Foliaciones; eigenfunction; Hill's operator; geometry of KdV; foliation; extensive function space; invariant manifolds; addition; Darboux transformation; Schrödinger operator; unimodular spectral classes; unimodular spectral class; spectral weight
UR - http://eudml.org/doc/39327
ER -

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