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

Several non-linear fluid mechanical processes, such as wave propagation in shallow water,
are known to generate solitons: localized waves of translation. Solitons are often hidden in a …

In this article, for the first time, a full-spectrum periodic nonlinear Fourier transform (NFT)-
based communication system with the inverse transformation at the transmitter performed by …

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 …

We study the robustness of a nonlinear frequency-division multiplexing (NFDM) system,
based on the Zakharov-Shabat spectral problem (ZSSP), that is comprised of two …

Due to the ever increasing global connectivity, the demand on the fiber-optic communication
infrastructure is projected to keep increasing rapidly. A major factor currently limiting …

Results We have developed algorithms to compute the continuous KdV-NFT spectrum and
the eigenvalues and norming constants of the discrete KdV-NFT spectrum. Furthermore we …

The numerical implementation of the nonlinear Fourier transformation (NFT) for the
nonlinear Shrodinger equation (NLSE) requires effective numerical algorithms for each …