Bäcklund--Darboux transformations in Sato's Grassmannian

Abstract

We define Bäcklund--Darboux transformations in Sato's Grassmannian. They can be regarded as Darboux transformations on maximal algebras of commuting ordinary differential operators. We describe the action of these transformations on related objects: wave functions, tau-functions and spectral algebras. This paper is the second of a series of papers (hep-th/9510211, q-alg/9602011, q-alg/9602012) on the bispectral problem.

13 pages, LaTeX2e, uses amsfonts.sty and latexsym.sty, no figures

References in corpus (2)

• Bispectral algebras of commuting ordinary differential operators
• Tau-functions as highest weight vectors for W_{1+infty} algebra

Cited by in corpus (1)

• General methods for constructing bispectral operators