On discrete and continuous nonlinear Fourier transforms

Pavle Saksida

Type: Article

Publication Date: 2014-11-26

Citations: 0

DOI: https://doi.org/10.1088/1742-6596/563/1/012025

Abstract

We study a discretization D of the nonlinear Fourier transform 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 D(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 .

Locations

Journal of Physics Conference Series - View - PDF

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