The pioneering paper'Optical rogue waves' by Solli et al (2007 Nature 450 1054) started the
new subfield in optics. This work launched a great deal of activity on this novel subject. As a …

In this paper, the Sasa-Satsuma equation in fluid dynamics and nonlinear optics is
investigated. Starting from the first-order Darboux transformation, we construct an N-fold …

Under investigation in this paper is a coupled nonlinear Schrödinger (NLS) equation, which
describes nonlinear pulse propagation in optical fibers by retaining terms up to the next …

Under investigation in this paper is a (2+ 1)-dimensional nonlinear Schrödinger equation
(NLS), which is a generalisation of the NLS equation. By virtue of Wronskian determinants …

In this paper, the nonautonomous Lenells-Fokas (LF) model is investigated. The
modulational instability analysis of the solutions with variable coefficients in the presence of …

Under investigation in this paper are the inhomogeneous nonlinear Schrödinger Maxwell–
Bloch (INLS-MB) equations which model the propagation of optical waves in an …

The state transition between the Peregrine rogue wave and W-shaped traveling wave
induced by higher-order effects and background frequency is studied. We find that this …

The M-shaped solitons—a special type of solitons—have been reported in many models,
while most of them are not focused on the commonly used nonlinear Schrödinger equation …

In this paper, we investigate the dynamics of localized waves for the higher-order modified
Gerdjikov–Ivanov equation. Based on Lax pair, the N th-fold Darboux transformation is …

We study the relations between modulational instability and several well-known nonlinear
excitations in a nonlinear fiber such as bright soliton, nonlinear continuous wave …