Low-frequency analogue Hawking radiation: the Korteweg–de Vries model

@article{Coutant2017LowfrequencyAH,
  title={Low-frequency analogue Hawking radiation: the Korteweg–de Vries model},
  author={Antonin Coutant and Silke E. Ch. Weinfurtner},
  journal={Physical Review D},
  year={2017},
  volume={97},
  pages={025005}
}
We derive analytic expressions for the low-frequency properties of the analogue Hawking radiation in a general weak-dispersive medium. A thermal low-frequency part of the spectrum is expected even when dispersive effects become significant. We consider the two most common class of weak-dispersive media and investigate all possible anomalous scattering processes due inhomogeneous background flows. We first argue that under minimal assumptions, the scattering processes in near-critical flows are… 

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