Nonlinear Spectral Characterization of Discrete Data
solv-int
2009-10-30 v1 Exactly Solvable and Integrable Systems
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).
Cite
@article{arxiv.solv-int/9609002,
title = {Nonlinear Spectral Characterization of Discrete Data},
author = {M. Boiti and J. Leon and F. Pempinelli},
journal= {arXiv preprint arXiv:solv-int/9609002},
year = {2009}
}
Comments
RevTex file, to appear in Physical Review E