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.

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

FERMO, LUISA;VAN DER MEE, CORNELIS VICTOR MARIA;SEATZU, SEBASTIANO
2017

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.
nonlinear Schrödinger equation; inverse scattering transform; integral equations
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11584/185460
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