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.

Numerical solution of the nonlinear Schrödinger equation, starting from the scattering data

RODRIGUEZ, GIUSEPPE;
2011-01-01

Abstract

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.
2011
Nonlinear Schrödinger equation (NLS); Inverse scattering transform (IST); Split step Fourier method
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11584/27785
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