An inhomogeneous Lax representation for the Hirota equation

Davide Fioravanti, Rafael Nepomechie

Research output: Contribution to journalArticle

4 Citations (Scopus)

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 languageEnglish (US)
Article number054001
JournalJournal of Physics A: Mathematical and Theoretical
Volume50
Issue number5
DOIs
StatePublished - Jan 4 2017

Fingerprint

Lax Representation
Integrable Models
Compatibility
compatibility
Symmetry
symmetry
Term
Family

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)

Cite this

An inhomogeneous Lax representation for the Hirota equation. / Fioravanti, Davide; Nepomechie, Rafael.

In: Journal of Physics A: Mathematical and Theoretical, Vol. 50, No. 5, 054001, 04.01.2017.

Research output: Contribution to journalArticle

@article{a61f8dd210a84f26a7d25cc9d7fc0290,
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 Rafael Nepomechie",
year = "2017",
month = "1",
day = "4",
doi = "10.1088/1751-8121/aa5303",
language = "English (US)",
volume = "50",
journal = "Journal of Physics A: Mathematical and Theoretical",
issn = "1751-8113",
publisher = "IOP Publishing Ltd.",
number = "5",

}

TY - JOUR

T1 - An inhomogeneous Lax representation for the Hirota equation

AU - Fioravanti, Davide

AU - Nepomechie, Rafael

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

UR - http://www.scopus.com/inward/record.url?scp=85010046860&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85010046860&partnerID=8YFLogxK

U2 - 10.1088/1751-8121/aa5303

DO - 10.1088/1751-8121/aa5303

M3 - Article

AN - SCOPUS:85010046860

VL - 50

JO - Journal of Physics A: Mathematical and Theoretical

JF - Journal of Physics A: Mathematical and Theoretical

SN - 1751-8113

IS - 5

M1 - 054001

ER -