Title | ||
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Numerical solution of the direct scattering problem for the nonlinear Schrödinger equation |
Abstract | ||
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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 Fermo | 1 | 17 | 4.62 |
Cornelis Van Der Mee | 2 | 3 | 1.10 |
Sebastiano Seatzu | 3 | 128 | 21.26 |