We numerically study the underlying nonlinear dynamics of ultra-broadband optical
wavelength converters based on fourth-order scalar modulation instability. Specifically, we …

We report on the generation of optical rogue waves (RWs) during the process of the random
dissipative soliton buildup in an ultrafast net-normal dispersion fiber laser. It is demonstrated …

The Cartesian coordinate system is not sufficient to study wave propagation on the coastline
or in the sea where the terrain is extremely complicated, so it is necessary to study it in an …

In this paper, optical rogue waves for the coherently coupled nonlinear Schrödinger
equation with alternate signs of nonlinearities are investigated via Darboux transformation …

This study reviews the Peregrine solitons appearing under the framework of a class of
nonlinear Schrödinger equations describing the diverse nonlinear systems. The historical …

Under investigation in this paper is a generalized discrete Hirota equation. Based on Lax
pair, the Nth-fold Darboux transformation is constructed. The one-and two-breather solutions …

We present an explicit analytical form of first and second order rogue waves for distributive
nonlinear Schrödinger equation (NLSE) by mapping it to standard NLSE through similarity …

A similarity transformation connecting the variable coefficient nonlinear Schrödinger
equation with the standard nonlinear Schrödinger equation is constructed. The self-similar …

In this work, we deal with a nonlinear Schrödinger system which can describe a wide variety
of physical processes. By means of the Darboux transformation, we provide analytical …

Optical “rogue” waves are rare and very high intensity pulses of light that occur in optical
devices such as communication fibers. They appear suddenly and can cause transmission …