Bäcklund--Darboux transformations in Sato's Grassmannian

Details Bäcklund--Darboux transformations in Sato's Grassmannian Bäcklund--Darboux transformations in Sato's Grassmannian

1996-02-03

arxiv.org/abs/q-alg/9602010v2

Mathematics

Quantum Algebra

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

Scientific paper

We define B\"acklund--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.

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