Nonlinear Spectral Characterization of Discrete Data

Details Nonlinear Spectral Characterization of Discrete Data Nonlinear Spectral Characterization of Discrete Data

1996-09-09

arxiv.org/abs/solv-int/9609002v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

RevTex file, to appear in Physical Review E

Scientific paper

10.1103/PhysRevE.54.5739

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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