Nonlinear distortion experienced by signals during their propagation through optical fibers
strongly limits the throughput of optical communication systems. Recently, a strong research …

Nowadays, improving the accuracy of computational methods to solve the initial value
problem of the Zakharov-Shabat system remains an urgent problem in optics. In particular …

Two conceptual convolutional neural network (CNN) schemes are proposed, developed and
analysed for directly decoding nonlinear frequency division multiplexing (NFDM) signals …

Carrier frequency offset (CFO) estimation is very important for the optical fiber
communications and has been studied widely in linear coherent systems, while only a few …

In this paper, we develop the numerical inverse scattering transform (NIST) for the focusing
and defocusing Kundu–Eckhaus (KE) equations. The NIST consists of numerical direct …

In the presence of additive Gaussian noise, the statistics of the Nonlinear Fourier Transform
(NFT) of a pulse are not yet completely known in closed form. In this paper, we propose a …

We present a publicly available software for exponential integrators that computes the φ l (z)
functions using polynomial interpolation. The interpolation method at Leja points have …

We propose an adaptive method for numerical computation of discrete eigenvalues of the
direct nonlinear Fourier transform (NFT). The approach is based on trust region algorithm …

We propose a new method for finding discrete eigenvalues for the direct Zakharov-Shabat
problem, based on moving in the complex plane along the argument jumps of the function a …

The direct Zakharov–Shabat scattering problem has recently gained significant attention in
various applications of fiber optics. The development of accurate and fast algorithms with …