An inhomogeneous Lax representation for the Hirota equation

@article{Fioravanti2016AnIL,
title={An inhomogeneous Lax representation for the Hirota equation},
author={Davide Fioravanti and Rafael I. Nepomechie},
journal={Journal of Physics A: Mathematical and Theoretical},
year={2016},
volume={50}
}
• Published 21 September 2016
• Mathematics
• Journal of Physics A: Mathematical and Theoretical
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.
7 Citations
• Mathematics
Symmetry, Integrability and Geometry: Methods and Applications
• 2018
We prove the modified algebraic Bethe Ansatz characterization of the spectral problem for the closed XXX Heisenberg spin chain with an arbitrary twist and arbitrary positive (half)-integer spin at
Continuous symmetries of the Hirota difference equation, commuting with shifts of independent variables, are derived by means of the dressing procedure. Action of these symmetries on the dependent
• Mathematics, Physics
Journal of Physics A: Mathematical and Theoretical
• 2022
The time and band limiting operator is introduced to optimize the reconstruction of a signal from only a partial part of its spectrum. In the discrete case, this operator commutes with the so-called
• Physics
• 2017
This is an introduction to Quantum Integrability and Quantum Groups, a special issue collection of articles published in Journal of Physics A in memory of Petr P. Kulish. A list of Kulish's
• Mathematics
• 2017
A bstractWe calculate the leading contributions to the connected two-point functions of protected scalar operators in the defect version of N$$\mathcal{N}$$ = 4 SYM theory which is dual to the
• Materials Science
Journal of High Energy Physics
• 2017
We calculate the leading contributions to the connected two-point functions of protected scalar operators in the defect version of N\documentclass[12pt]{minimal} \usepackage{amsmath}
Les modeles integrables sont des modeles physiques pour lesquels certaines quantites peuvent etre calculees de maniere exacte, sans recours aux methodes de perturbations. Ces modeles tres

References

SHOWING 1-10 OF 33 REFERENCES

A new class of boundary conditions is described for quantum systems integrable by means of the quantum inverse scattering (R-matrix) method. The method proposed allows the author to treat open
An inhomogeneous T-Q equation has recently been proposed by Cao, Yang, Shi and Wang for the open spin-1/2 XXX chain with general (nondiagonal) boundary terms. We argue that a simplified version of
• Mathematics
• 1981
The problem of constructing the GL(N,ℂ) solutions to the Yang-Baxter equation (factorizedS-matrices) is considered. In caseN=2 all the solutions for arbitrarily finite-dimensional irreducible
• Mathematics
• 2015
We consider the isotropic spin − 1 2 ?> Heisenberg chain with the most general integrable boundaries. The scalar product between the on-shell Bethe vector and its off-shell dual, obtained by means of
• Physics
• 1987
An integrable generalisation of the XXZ Heisenberg model with arbitrary spin and with light plane type anisotropy is studied. Integral equations describing the thermodynamics of the model are found.
• Mathematics
• 1998
The paper is a review of recent works devoted to analysis of classical integrable structures in quantum integrable models solved by one or another version of the Bethe ansatz. Similarities between
• Physics
• 1994
Reported are two applications of the functional relations (T system) among a commuting family of row-to-row transfer matrices proposed in the previous paper (Part I). For a general simple Lie algebra