Scattering and inverse scattering for the AKNS system: A rational function approach

We consider the use of rational basis functions to compute the scattering and inverse scattering transforms associated with the AKNS (Ablowitz–Kaup–Newell–Segur) system. The proposed numerical forward scattering transform computes the solution of the AKNS system that is valid on the entire real axis...

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Veröffentlicht in:	Studies in applied mathematics (Cambridge) 2021-11, Vol.147 (4), p.1443-1480
1. Verfasser:	Trogdon, Thomas
Format:	Artikel
Sprache:	eng
Schlagworte:	Basis functions Cauchy integrals Forward scattering Inverse scattering Mathematical analysis Operators (mathematics) rational approximation Rational functions Reflectance
Online-Zugang:	Volltext
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