Title
Numerical solution of the direct scattering problem for the nonlinear Schrödinger equation
Abstract
We illustrate a numerical method to compute the scattering data for the Zhakarov-Shabat system associated to the initial value problem for the nonlinear Schrödinger 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.
Year
DOI
Venue
2015
10.1109/TIWDC.2015.7323323
2015 Tyrrhenian International Workshop on Digital Communications (TIWDC)
Keywords
Field
DocType
direct scattering problem,nonlinear Schrödinger equation,numerical method,scattering data,Zhakarov-Shabat system,initial value problem,inverse scattering transform method
Inverse scattering transform,Scattering theory,Quantum inverse scattering method,Mathematical analysis,Initial value problem,Scattering,Nonlinear Schrödinger equation,Split-step method,Inverse scattering problem,Mathematics
Conference
Citations 
PageRank 
References 
0
0.34
1
Authors
3
Name
Order
Citations
PageRank
Luisa Fermo1174.62
Cornelis Van Der Mee231.10
Sebastiano Seatzu312821.26