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EnglishThe initial-value problem for the focusing nonlinear Schrodinger (NLS) equation is solved numerically by following the various steps of the inverse scattering transform. Starting from the initial value of the solution, a Volterra integral equation is solved followed by three FFT to arrive at the reflection coefficient and initial Marchenko kernel. By convolution these initial data are propagated in time. Using structured-matrix techniques the time evolved Marchenko integral equation is solved to arrive at the solution to the NLS equation.
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| Titolo: | Structured matrix numerical solution of the nonlinear Schrodinger equation by the inverse scattering transform | |
| Autori: | ||
| Data di pubblicazione: | 2009 | |
| Rivista: | ||
| Abstract: | The initial-value problem for the focusing nonlinear Schrodinger (NLS) equation is solved numerically by following the various steps of the inverse scattering transform. Starting from the initial value of the solution, a Volterra integral equation is solved followed by three FFT to arrive at the reflection coefficient and initial Marchenko kernel. By convolution these initial data are propagated in time. Using structured-matrix techniques the time evolved Marchenko integral equation is solved to arrive at the solution to the NLS equation. | |
| Handle: | http://hdl.handle.net/11584/19037 | |
| Tipologia: | 1.1 Articolo in rivista |
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http://hdl.handle.net/11584/19037
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