The nonlinear Fourier transform (NFT) has recently gained significant attention in fiber optic
communications and other engineering fields. Although several numerical algorithms for …

We explore two classes of exponential integrators, in this letter, to design the nonlinear
Fourier transform (NFT) algorithms with a convergence order of four on an equispaced grid …

Fiber-optic communication systems are nowadays facing serious challenges due to the fast
growing demand on capacity from various new applications and services. It is now well …

In this work, we introduce the periodic nonlinear Fourier transform (PNFT) method as an
alternative and efficacious tool for compensation of the nonlinear transmission effects in …

It is demonstrated in this letter that linear multistep methods for integrating ordinary
differential equations can be used to develop a family of fast forward scattering algorithms …

The conventional Fourier transform was originally developed in order to solve the heat
equation, which is a standard example for a linear evolution equation. Nonlinear Fourier …

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 …

The nonlinear Fourier transform, which is also known as the forward scattering transform,
decomposes a periodic signal into nonlinearly interacting waves. In contrast to the common …

We propose a method to improve the performance of the nonlinear Fourier transform (NFT)-
based optical transmission system by applying the neural network post-processing of the …

We investigate the accuracy of wideband split-step Fourier method (SSFM) simulations by
treating SSFM numerical noise as an additive distributed noise source, much like amplified …