From Stäckel systems to integrable hierarchies of PDE’s: Benenti class of separation relations

@article{Baszak2006FromSS,
  title={From St{\"a}ckel systems to integrable hierarchies of PDE’s: Benenti class of separation relations},
  author={Maciej Błaszak and Krzysztof Marciniak},
  journal={Journal of Mathematical Physics},
  year={2006},
  volume={47},
  pages={032904}
}
We propose a general scheme of constructing of soliton hierarchies from finite dimensional Stackel systems and related separation relations. In particular, we concentrate on the simplest class of separation relations, called Benenti class, i.e., certain Stackel systems with quadratic in momenta integrals of motion. 

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