Bäcklund--Darboux transformations in Sato's Grassmannian
B. Bakalov, E. Horozov, M. Yakimov
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.
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