# Backlund-Darboux Transformations in Sato's Grassmannian

Bakalov, B.; Horozov, E.; Yakimov, M.

Serdica Mathematical Journal (1996)

- Volume: 22, Issue: 4, page 571-586
- ISSN: 1310-6600

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topBakalov, 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 -

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