Bäcklund transformations and Hamiltonian flows

@inproceedings{Zullo2013BcklundTA,
  title={B{\"a}cklund transformations and Hamiltonian flows},
  author={Federico Zullo},
  year={2013}
}
In this work we show that, under certain conditions, parametric Backlund transformations for a finite dimensional integrable system can be interpreted as solutions to the equations of motion defined by an associated non-autonomous Hamiltonian. The two systems share the same constants of motion. This observation leads to the identification of the Hamiltonian interpolating the iteration of the discrete map defined by the transformations, which indeed in numerical applications can be considered a… CONTINUE READING

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