NONLINEAR SPECTRAL CHARACTERIZATION OF DISCRETE-DATA

Authors
BOITI M LEON J PEMPINELLI F
Citation
M. Boiti et al., NONLINEAR SPECTRAL CHARACTERIZATION OF DISCRETE-DATA, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 54(5), 1996, pp. 5739-5742
Citations number
30
Categorie Soggetti
Physycs, Mathematical","Phsycs, Fluid & Plasmas
Journal title
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics → ACNP
ISSN journal
1063651X
Volume
54
Issue
5
Year of publication
1996
Pages
5739 - 5742
Database
ISI
SICI code
1063-651X(1996)54:5<5739:NSCOD>2.0.ZU;2-R
Abstract
The explicit analytical expression of the nonlinear Fourier transform (NFT) of a finite set of data is provided. Then a simple recursion rel ation for the NFT is constructed as a function of the spectral paramet er. These tools provide a complete characterization of the nonlinear c oherent structures (solitons, breathers,...) present in numerical or e xperimental data representing the solution, at a given value of time, of a nonlinear evolution equation (e.g., of the nonlinear Schrodinger family).