Backlund-Darboux Transformations in Sato's Grassmannian

Bakalov, B., Horozov, E., and Yakimov, M.. "Backlund-Darboux Transformations in Sato's Grassmannian." Serdica Mathematical Journal 22.4 (1996): 571-586. <http://eudml.org/doc/11652>.

@article{Bakalov1996,
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.},
author = {Bakalov, B., Horozov, E., Yakimov, M.},
journal = {Serdica Mathematical Journal},
keywords = {Bäcklund–Darboux Transformation; Sato’s Grassmannian; Tau-Function; Spectral Algebra; Bäcklund-Darboux transformation; Sato's Grassmannian; tau-function; spectral algebra; maximal algebras; wave functions; tau-functions; spectral algebras},
language = {eng},
number = {4},
pages = {571-586},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {Backlund-Darboux Transformations in Sato's Grassmannian},
url = {http://eudml.org/doc/11652},
volume = {22},
year = {1996},
}

TY - JOUR
AU - Bakalov, B.
AU - Horozov, E.
AU - Yakimov, M.
TI - Backlund-Darboux Transformations in Sato's Grassmannian
JO - Serdica Mathematical Journal
PY - 1996
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 22
IS - 4
SP - 571
EP - 586
AB - 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.
LA - eng
KW - Bäcklund–Darboux Transformation; Sato’s Grassmannian; Tau-Function; Spectral Algebra; Bäcklund-Darboux transformation; Sato's Grassmannian; tau-function; spectral algebra; maximal algebras; wave functions; tau-functions; spectral algebras
UR - http://eudml.org/doc/11652
ER -