Backlund-Darboux Transformations in Sato's Grassmannian
Serdica Mathematical Journal, Tome 22 (1996) no. 4, pp. 571-586
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.
Keywords:
Bäcklund–Darboux Transformation, Sato’s Grassmannian, Tau-Function, Spectral Algebra
@article{SMJ2_1996_22_4_a5,
author = {Bakalov, B. and Horozov, E. and Yakimov, M.},
title = {Backlund-Darboux {Transformations} in {Sato's} {Grassmannian}},
journal = {Serdica Mathematical Journal},
pages = {571--586},
year = {1996},
volume = {22},
number = {4},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SMJ2_1996_22_4_a5/}
}
Bakalov, B.; Horozov, E.; Yakimov, M. Backlund-Darboux Transformations in Sato's Grassmannian. Serdica Mathematical Journal, Tome 22 (1996) no. 4, pp. 571-586. http://geodesic.mathdoc.fr/item/SMJ2_1996_22_4_a5/