We illustrate a numerical method to compute the scattering data for the Zhakarov-Shabat system associated to the initial value problem for the nonlinear Schrodinger equation. This numerical method which, to our best knowledge, is the first method proposed to compute all scattering data under general assumptions, is based on the version of the Inverse Scattering Transform method proposed by one of the authors.
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Univ Colorado, Dept Math, Colorado Springs, CO 80918 USA
Univ Salento, Dipartimento Matemat & Fis E De Giorgi, Lecce, Italy
Sezione Ist Nazl Fis Nucl, Lecce, ItalyUniv Cagliari, Dipartimento Matemat, I-09121 Cagliari, Italy
Prinari, B.
van der Mee, C.
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Univ Cagliari, Dipartimento Matemat, I-09121 Cagliari, ItalyUniv Cagliari, Dipartimento Matemat, I-09121 Cagliari, Italy
van der Mee, C.
Vitale, F.
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Univ Salento, Dipartimento Matemat & Fis E De Giorgi, Lecce, ItalyUniv Cagliari, Dipartimento Matemat, I-09121 Cagliari, Italy