Integrable boundary conditions and modified Lax equations

Jean Avan; Anastasia Doikou

doi:10.1016/j.nuclphysb.2008.04.004

Integrable boundary conditions and modified Lax equations

Jean Avan, Anastasia Doikou

Research output: Contribution to journal › Article › peer-review

16 Citations (Scopus)

Abstract

We consider integrable boundary conditions for both discrete and continuum classical integrable models. Local integrals of motion generated by the corresponding transfer matrices give rise to time evolution equations for the initial Lax operator. We systematically identify the modified Lax pairs for both discrete and continuum boundary integrable models, depending on the classical r-matrix and the boundary matrix.

Original language	English
Pages (from-to)	591–612
Number of pages	22
Journal	Nuclear Physics B
Volume	800
Issue number	3
DOIs	https://doi.org/10.1016/j.nuclphysb.2008.04.004
Publication status	Published - 11 Sept 2008

Keywords

hep-th
math-ph
math.MP
math.QA
nlin.SI

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10.1016/j.nuclphysb.2008.04.004

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title = "Integrable boundary conditions and modified Lax equations",

abstract = "We consider integrable boundary conditions for both discrete and continuum classical integrable models. Local integrals of motion generated by the corresponding transfer matrices give rise to time evolution equations for the initial Lax operator. We systematically identify the modified Lax pairs for both discrete and continuum boundary integrable models, depending on the classical r-matrix and the boundary matrix.",

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AU - Avan, Jean

AU - Doikou, Anastasia

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N2 - We consider integrable boundary conditions for both discrete and continuum classical integrable models. Local integrals of motion generated by the corresponding transfer matrices give rise to time evolution equations for the initial Lax operator. We systematically identify the modified Lax pairs for both discrete and continuum boundary integrable models, depending on the classical r-matrix and the boundary matrix.

AB - We consider integrable boundary conditions for both discrete and continuum classical integrable models. Local integrals of motion generated by the corresponding transfer matrices give rise to time evolution equations for the initial Lax operator. We systematically identify the modified Lax pairs for both discrete and continuum boundary integrable models, depending on the classical r-matrix and the boundary matrix.

KW - hep-th

KW - math-ph

KW - math.MP

KW - math.QA

KW - nlin.SI

U2 - 10.1016/j.nuclphysb.2008.04.004

DO - 10.1016/j.nuclphysb.2008.04.004

M3 - Article

SN - 0550-3213

VL - 800

SP - 591

EP - 612

JO - Nuclear Physics B

JF - Nuclear Physics B

IS - 3

ER -

Integrable boundary conditions and modified Lax equations

Abstract

Keywords

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