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

作者：Arico A; Rodriguez G^*; Seatzu S

来源：Calcolo, 2011, 48(1): 75-88.

DOI：10.1007/s10092-010-0029-2

• Nonlinear Schrodinger equation (NLS)
• Inverse scattering transform (IST)
• Split step Fourier method

Starting from the scattering data, the initial-value problem for the focusing nonlinear Schrodinger 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.

• 出版日期2011-3