Scattering data computation for the Zakharov–Shabat system with non-smooth potentials

FERMO, LUISA;VAN DER MEE, CORNELIS VICTOR MARIA;SEATZU, SEBASTIANO

2017-01-01

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Abstract

In this paper we present a variant of the method for the scattering data computation for the Zakharov-Shabat system, recently proposed by the authors. The algorithm that characterizes this variant allows us to compute the scattering data also in the presence of jump discontinuities of the initial potential.