Nonlinear Spectral Characterization of Discrete Data

M. Boiti; J. Leon; F. Pempinelli

doi:10.1103/physreve.54.5739

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arXiv · solv-int/9609002

Nonlinear Spectral Characterization of Discrete Data

M. Boiti·J. Leon·F. Pempinelli

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Abstract

The explicit analytical expression of the Nonlinear Fourier Transform (NFT) of a finite set of data is provided. Then a simple recursion relation for the NFT is constructed as a function of the spectral parameter. These tools provide a complete characterization of the nonlinear coherent structures (solitons, breathers, ...) present in numerical or experimental data representing the solution, at a given value of time, of a nonlinear evolution equation (e.g. of the nonlinear Schroedinger family).

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M. Boiti, J. Leon, F. Pempinelli. 1996-09-09. Nonlinear Spectral Characterization of Discrete Data. https://doi.org/10.1103/physreve.54.5739

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