Riemann theta functions, Fredholm and wronskian representations of the solutions to the KdV equation - Archive ouverte HAL Access content directly
Preprints, Working Papers, ... Year : 2021

Riemann theta functions, Fredholm and wronskian representations of the solutions to the KdV equation

Abstract

We degenerate the finite gap solutions of the KdV equation from the general formulation given in terms of abelian functions when the gaps tends to points, to get solutions to the KdV equation given in terms of Fredholm determinants and wronskians. For this we establish a link between Riemann theta functions, Fredholm determinants and wronskians. This gives the bridge between the algebro-geometric approach and the Darboux dressing method.
Fichier principal
Vignette du fichier
hal KdVTheV4.pdf (134.97 Ko) Télécharger le fichier
Origin : Files produced by the author(s)

Dates and versions

hal-03327882 , version 1 (27-08-2021)

Identifiers

  • HAL Id : hal-03327882 , version 1

Cite

Pierre Gaillard. Riemann theta functions, Fredholm and wronskian representations of the solutions to the KdV equation. 2021. ⟨hal-03327882⟩
21 View
103 Download

Share

Gmail Facebook X LinkedIn More