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Drinfeld-sokolov reduction for difference lax operators with periodic boundary conditions in the case of gl(n, C (λ-1)). / Pirozerskii, A. L.

в: Journal of Mathematical Sciences , Том 104, № 3, 340429, 2001, стр. 1229-1246.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

Harvard

Pirozerskii, AL 2001, 'Drinfeld-sokolov reduction for difference lax operators with periodic boundary conditions in the case of gl(n, C (λ-1))', Journal of Mathematical Sciences , Том. 104, № 3, 340429, стр. 1229-1246. https://doi.org/10.1023/A:1011313310480

APA

Pirozerskii, A. L. (2001). Drinfeld-sokolov reduction for difference lax operators with periodic boundary conditions in the case of gl(n, C (λ-1)). Journal of Mathematical Sciences , 104(3), 1229-1246. [340429]. https://doi.org/10.1023/A:1011313310480

Vancouver

Pirozerskii AL. Drinfeld-sokolov reduction for difference lax operators with periodic boundary conditions in the case of gl(n, C (λ-1)). Journal of Mathematical Sciences . 2001;104(3):1229-1246. 340429. https://doi.org/10.1023/A:1011313310480

Author

Pirozerskii, A. L. / Drinfeld-sokolov reduction for difference lax operators with periodic boundary conditions in the case of gl(n, C (λ-1)). в: Journal of Mathematical Sciences . 2001 ; Том 104, № 3. стр. 1229-1246.

BibTeX

@article{e00f47b0c9c648c1abf3e03c3b11928e,
title = "Drinfeld-sokolov reduction for difference lax operators with periodic boundary conditions in the case of gl(n, C (λ-1))",
abstract = "Within the framework of the method of formal dressing transformations, we construct a family of zero-curvature equations with discrete space variable for the case of the algebra gl(n, ℂ((λ-1))). The equations obtained admit reduction with respect to the gauge group and, on the quotient, give rise to the nth order scalar difference equations that can be regarded as discrete analogs of KdV-equations. It is proved that the flows corresponding to different equations of the family commute.",
author = "Pirozerskii, {A. L.}",
note = "Copyright: Copyright 2017 Elsevier B.V., All rights reserved.",
year = "2001",
doi = "10.1023/A:1011313310480",
language = "English",
volume = "104",
pages = "1229--1246",
journal = "Journal of Mathematical Sciences",
issn = "1072-3374",
publisher = "Springer Nature",
number = "3",

}

RIS

TY - JOUR

T1 - Drinfeld-sokolov reduction for difference lax operators with periodic boundary conditions in the case of gl(n, C (λ-1))

AU - Pirozerskii, A. L.

N1 - Copyright: Copyright 2017 Elsevier B.V., All rights reserved.

PY - 2001

Y1 - 2001

N2 - Within the framework of the method of formal dressing transformations, we construct a family of zero-curvature equations with discrete space variable for the case of the algebra gl(n, ℂ((λ-1))). The equations obtained admit reduction with respect to the gauge group and, on the quotient, give rise to the nth order scalar difference equations that can be regarded as discrete analogs of KdV-equations. It is proved that the flows corresponding to different equations of the family commute.

AB - Within the framework of the method of formal dressing transformations, we construct a family of zero-curvature equations with discrete space variable for the case of the algebra gl(n, ℂ((λ-1))). The equations obtained admit reduction with respect to the gauge group and, on the quotient, give rise to the nth order scalar difference equations that can be regarded as discrete analogs of KdV-equations. It is proved that the flows corresponding to different equations of the family commute.

UR - http://www.scopus.com/inward/record.url?scp=52549120820&partnerID=8YFLogxK

U2 - 10.1023/A:1011313310480

DO - 10.1023/A:1011313310480

M3 - Article

AN - SCOPUS:52549120820

VL - 104

SP - 1229

EP - 1246

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 3

M1 - 340429

ER -

ID: 73242079