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}
}
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. 

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