An inhomogeneous Lax representation for the Hirota equation

Davide Fioravanti; Rafael Nepomechie

doi:10.1088/1751-8121/aa5303

An inhomogeneous Lax representation for the Hirota equation

Davide Fioravanti, Rafael Nepomechie

Physics

Research output: Contribution to journal › Article

4 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

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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

Fioravanti, D., & Nepomechie, R. (2017). An inhomogeneous Lax representation for the Hirota equation. Journal of Physics A: Mathematical and Theoretical, 50(5), [054001]. https://doi.org/10.1088/1751-8121/aa5303

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Access to Document

10.1088/1751-8121/aa5303