In this Letter, the generalized nonlinear Schrödinger (GNLS) equation is investigated by
Darboux matrix method. A generalized Darboux transformation (DT) of the GNLS equation is …

We investigate a discrete Ablowitz–Ladik equation with variable coefficients, which models
the modulated waves in an electrical lattice. Employing the similarity transformation and …

In this paper, we present two types of the semirational solutions for the coupled nonlinear
Schrödinger equations through employing the generalized Darboux transformation. Based …

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 …

The control of rogue waves in mid-infrared SC generated by pumped femtosecond pulses in
chalcogenic optical fibers abnormal dispersion has been studied. And the control effect of …

The freak oscillation in one-dimensional dusty plasma is studied numerically by particle-in-
cell method. Using a perturbation method, the basic set of fluid equations is reduced to a …

Pathways towards the generation of extreme optical pulsation in a chaotic transition regime
in a linear fibre laser cavity configuration are presented. In a thulium mode-locked fibre …

Solitons, breathers and rogue waves of the coupled Hirota system are investigated. To
obtain these solutions, we construct the 4× 4 Lax pair and Darboux transformation (DT). With …

We report experimental evidence of dispersive waves with enhanced redshift generated
through soliton collisions in a photonic crystal fiber with two zero-dispersion wavelengths …

The problem of electron-acoustic (EA) rogue waves in a plasma consisting of fluid cold
electrons, nonthermal nonextensive electrons and stationary ions, is addressed. A standard …