dorsal/arxiv
View SchemaNonlinear Spectral Characterization of Discrete Data
| Authors | M. Boiti, J. Leon, F. Pempinelli |
|---|---|
| Categories | |
| ArXiv ID | solv-int/9609002 |
| URL | https://arxiv.org/abs/solv-int/9609002 |
| DOI | 10.1103/PhysRevE.54.5739 |
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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"abstract": "The explicit analytical expression of the Nonlinear Fourier Transform (NFT)\nof a finite set of data is provided. Then a simple recursion relation for the\nNFT is constructed as a function of the spectral parameter. These tools provide\na complete characterization of the nonlinear coherent structures (solitons,\nbreathers, ...) present in numerical or experimental data representing the\nsolution, at a given value of time, of a nonlinear evolution equation (e.g. of\nthe nonlinear Schroedinger family).",
"arxiv_id": "solv-int/9609002",
"authors": [
"M. Boiti",
"J. Leon",
"F. Pempinelli"
],
"categories": [
"solv-int",
"nlin.SI"
],
"doi": "10.1103/PhysRevE.54.5739",
"title": "Nonlinear Spectral Characterization of Discrete Data",
"url": "https://arxiv.org/abs/solv-int/9609002"
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