Abstract
We study a discretization Dℱ of the nonlinear Fourier transform ℱ associated with the integrable partial differential equations of AKNS-ZS type. We construct an iterative procedure by means of which we can calculate the inverse transform Dℱ(h) for an arbitrary small enough argument h to any desired accuracy. The construction of this procedure is based on the analogous construction for the continuous transform ℱ.
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