Structured matrix numerical solution of the nonlinear schrodinger equation by the inverse scattering transform

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...

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Bibliographic Details
Main Authors: Sebastiano Seatzu, Cornelis van der Mee, Antonio Arico
Format: Article
Language:English
Published: Texas State University 2009-01-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2009/15/abstr.html