An inhomogeneous Lax representation for the Hirota equation

Davide Fioravanti; Rafael I. Nepomechie

doi:10.1088/1751-8121/aa5303

An inhomogeneous Lax representation for the Hirota equation

Davide Fioravanti, Rafael I. Nepomechie

Physics

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

6 Scopus citations

Abstract

Motivated by recent work on quantum integrable models without U(1) symmetry, we show that the sl(2) Hirota equation admits a Lax representation with inhomogeneous terms. The compatibility of the auxiliary linear problem leads to a new consistent family of Hirota-like equations.

Original language	English (US)
Article number	054001
Journal	Journal of Physics A: Mathematical and Theoretical
Volume	50
Issue number	5
DOIs	https://doi.org/10.1088/1751-8121/aa5303
State	Published - Jan 4 2017

Keywords

Bethe ansatz
fusion procedure
quantum integrability

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Statistics and Probability
Modeling and Simulation
Mathematical Physics
Physics and Astronomy(all)

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title = "An inhomogeneous Lax representation for the Hirota equation",

abstract = "Motivated by recent work on quantum integrable models without U(1) symmetry, we show that the sl(2) Hirota equation admits a Lax representation with inhomogeneous terms. The compatibility of the auxiliary linear problem leads to a new consistent family of Hirota-like equations.",

keywords = "Bethe ansatz, fusion procedure, quantum integrability",

author = "Davide Fioravanti and Nepomechie, {Rafael I.}",

note = "Funding Information: DF thanks the partial support of the grants: GAST (INFN), UniTo-SanPaolo Nr TO-Call3-2012-0088, the ESF Network HoloGrav (09-RNP-092 (PESC)), the MPNS-COST Action MP1210 and the EU Network GATIS (no 317089). RN thanks the Bologna INFN theory group for its warm hospitality, and Volodya Kazakov for a helpful discussion. The work of RN was supported in part by the National Science Foundation under Grant PHY-1212337, and by a Cooper fellowship.",

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T1 - An inhomogeneous Lax representation for the Hirota equation

AU - Fioravanti, Davide

AU - Nepomechie, Rafael I.

N1 - Funding Information: DF thanks the partial support of the grants: GAST (INFN), UniTo-SanPaolo Nr TO-Call3-2012-0088, the ESF Network HoloGrav (09-RNP-092 (PESC)), the MPNS-COST Action MP1210 and the EU Network GATIS (no 317089). RN thanks the Bologna INFN theory group for its warm hospitality, and Volodya Kazakov for a helpful discussion. The work of RN was supported in part by the National Science Foundation under Grant PHY-1212337, and by a Cooper fellowship.

PY - 2017/1/4

Y1 - 2017/1/4

N2 - Motivated by recent work on quantum integrable models without U(1) symmetry, we show that the sl(2) Hirota equation admits a Lax representation with inhomogeneous terms. The compatibility of the auxiliary linear problem leads to a new consistent family of Hirota-like equations.

AB - Motivated by recent work on quantum integrable models without U(1) symmetry, we show that the sl(2) Hirota equation admits a Lax representation with inhomogeneous terms. The compatibility of the auxiliary linear problem leads to a new consistent family of Hirota-like equations.

KW - Bethe ansatz

KW - fusion procedure

KW - quantum integrability

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