An inhomogeneous Lax representation for the Hirota equation

Davide Fioravanti, Rafael Nepomechie

Research output: Contribution to journal › Article

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

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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 journal › Article

Fioravanti, D & Nepomechie, R 2017, 'An inhomogeneous Lax representation for the Hirota equation', Journal of Physics A: Mathematical and Theoretical, vol. 50, no. 5, 054001. https://doi.org/10.1088/1751-8121/aa5303
Fioravanti D, Nepomechie R. An inhomogeneous Lax representation for the Hirota equation. Journal of Physics A: Mathematical and Theoretical. 2017 Jan 4;50(5). 054001. https://doi.org/10.1088/1751-8121/aa5303
Fioravanti, Davide ; Nepomechie, Rafael. / An inhomogeneous Lax representation for the Hirota equation. In: Journal of Physics A: Mathematical and Theoretical. 2017 ; Vol. 50, No. 5.
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