On the nonlinear Fourier transform associated with periodic AKNS-ZS systems and its inverse

@inproceedings{Saksida2013OnTN,
  title={On the nonlinear Fourier transform associated with periodic AKNS-ZS systems and its inverse},
  author={Pavle Saksida},
  year={2013}
}
We study the nonlinear Fourier transform associated with the integrable nonlinear partial differential equations of AKNS-ZS type. We show that is a real analytic operator between the appropriate Hilbert spaces, and that it has a real analytic local inverse near the origin. We construct a convergent iterative scheme by means of which one can calculate the inverse to any desired degree of accuracy. 

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