Starting from the scattering data, the initial-value problem for the focusing nonlinear Schrödinger equation is solved numerically by following the path of the inverse scattering transform. The numerical results of an extensive experimentation suggest that: (a) our method is very effective, whenever the scattering data are analytically known; (b) the split-step Fourier method is not really effective if the exact solution is not smooth enough.
|Titolo:||Numerical solution of the nonlinear Schrödinger equation, starting from the scattering data|
|Data di pubblicazione:||2011|
|Citazione:||Numerical solution of the nonlinear Schrödinger equation, starting from the scattering data / Aricò A; Rodriguez G; Seatzu S. - 48:1(2011), pp. 75-88.|
|Tipologia:||1.1 Articolo in rivista|