Abstract
Nonlinear Fourier transform (NFT) has attracted in the past several years a renewed interest as a potential tool for mitigation of nonlinear signal distortions in optical communications [1]. The NFT exploits the integrability of the master equation for the signal evolution in the optical fibre — nonlinear Schroedinger equation (NLSE). The NFT maps the solution of the NLSE to the domain of the complex-valued spectral parameter ξ, the nonlinear analogue of frequency. The complete set of nonlinear spectral data contains continuous functions α(ξ), b (ξ), and discrete spectrum, consisting of two complex-valued parameters for each discrete degree of freedom: eigenvalue ξ eig , IM ξ eig > 0, and spectral amplitude C(ξ eig ) associated to a discrete soliton eigenvalue [1].
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