Institute of Mathematics and Informatics Bulgarian Academy of Sciences
Serdica Mathematical Journal, Vol. 22, No 4, (1996), 571p-586p
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