An algebro-geometric interpretation of the Bäcklund-transformation for the Korteweg-de Vries equation

DOI10.1007/BF02565842zbMath0516.35071OpenAlexW2072047444MaRDI QIDQ1052546

Horst Knoerrer, Fritz Ehlers

Publication date: 1982

Published in: Commentarii Mathematici Helvetici (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/139890

zbMATH Keywords

Korteweg-de Vries equationalgebro-geometric interpretationBäcklund-transformation

Mathematics Subject Classification ID

Schrödinger operator, Schrödinger equation (35J10) Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items (17)

Dressing chains and the spectral theory of the Schrödinger operator ⋮ Darboux transformations for higher-rank Kadomtsev-Petviashvili and Krichever-Novikov equations ⋮ Groups of equivariant loops in SL(n+1,C) and soliton equations ⋮ Treibich-Verdier potentials and the stationary (m)KdV hierarchy ⋮ Spectral deformations of one-dimensional Schrödinger operators ⋮ Infinite-dimensional flag manifolds in integrable systems ⋮ KP solutions generated from KdV by `rank' 2 transference ⋮ On the double commutation method ⋮ An explicit characterization of Calogero–Moser systems ⋮ Factorization and Poisson correspondences ⋮ The quaternionic KP hierarchy and conformally immersed 2-tori in the 4-sphere ⋮ On algebro-geometric simply-periodic solutions of the KdV hierarchy ⋮ A characterization of all elliptic algebro-geometric solutions of the AKNS hierarchy ⋮ Rational KdV potentials and differential Galois theory ⋮ On a theorem of Halphen and its application to integrable systems ⋮ Towards an algebro-geometric interpretation of the Neumann system ⋮ Loop groups and equations of KdV type

This page was built for publication: An algebro-geometric interpretation of the Bäcklund-transformation for the Korteweg-de Vries equation