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 …

The concept of soliton gas was introduced in 1971 by Zakharov as an infinite collection of
weakly interacting solitons in the framework of Korteweg–de Vries (KdV) equation. In this …

This book grew out of the collaboration of the authors, which began in the Spring of 2010,
and the first author's PhD dissertation. The second author developed much of the theory in …

In this topical review paper we provide a survey of classical and more recent results on the
IST for one-dimensional scalar, vector and square matrix NLS systems on the line (-∞< …

We develop a method for retrieving a set of parameters of a quasi-periodic finite-genus
(finite-gap) solution to the focusing nonlinear Schrödinger (NLS) equation, given the solution …

We consider the model of the focusing one-dimensional nonlinear Schrödinger equation
(fNLSE) in the presence of an unstable constant background, which exhibits coherent …

We are revisiting the problem of solving a discrete nonlinear Schrödinger equation by the
inverse scattering transform method, by use of the recently developed ExactMPF package …

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 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 …

In this work, under investigation is a defocusing Lakshmanan–Porsezian–Daniel system
governed by a four-order nonlinear Schrödinger-like equation arising from optical fibers. Via …