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Backlund-Darboux Transformations in Sato's Grassmannian

Bakalov, B., Horozov, E., Yakimov, M. (1996)

Serdica Mathematical Journal

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.

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