A numerical method to compute the scattering data for the Zakharov-Shabat system associated to the initial value problem for the nonlinear Schrödinger equation is proposed. The method involves the numerical solution of Volterra integral systems with structured kernels, of structured integral equations in unbounded domains and the identification of coefficients and parameters appearing in monomial-exponential sums. Numerical experiments confirm the effectiveness of the proposed technique.

Scattering data computation for the Zakharov-Shabat system

FERMO, LUISA;VAN DER MEE, CORNELIS VICTOR MARIA;
2016

Abstract

A numerical method to compute the scattering data for the Zakharov-Shabat system associated to the initial value problem for the nonlinear Schrödinger equation is proposed. The method involves the numerical solution of Volterra integral systems with structured kernels, of structured integral equations in unbounded domains and the identification of coefficients and parameters appearing in monomial-exponential sums. Numerical experiments confirm the effectiveness of the proposed technique.
Integral equations; Inverse scattering transform; Nonlinear Schrödinger equation; Algebra and number theory; Computational mathematics
File in questo prodotto:
File Dimensione Formato  
paper_calcolo.pdf

Solo gestori archivio

Tipologia: versione editoriale
Dimensione 1.25 MB
Formato Adobe PDF
1.25 MB Adobe PDF   Visualizza/Apri   Richiedi una copia

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11584/134371
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 7
  • ???jsp.display-item.citation.isi??? 5
social impact