Abstract

Soliton Transform as a Tool to Retrieve Nonlinear Component of a Signal

N.Mazur, E.Fedorov, V.Pilipenko (Institute of the Physics of the Earth, Moscow, Russia)

e-mail: vpilipenko@uipe-ras.scgis.ru

Method to detect solitons and determine their parameters and propagation velocity, based on the solution of the scattering problem for the Derivative Nonlinear Schrodinger (DNLS) equation, is proposed. The integrated scattering coefficient has been used as a detector of the DNLS solitons. Application of this technique to numerically simulated signals showed that it is more efficient than standard Fourier transform and can be developed into practical tool for the analysis of outputs from nonlinear systems.

Section : 1