The nonlinear propagation of coherent optical fields has been extensively explored in the
framework of nonlinear optics, while the linear propagation of incoherent fields has been …

The nonlinear Schrödinger equation has wide range of applications in physics with spatial
scales that vary from microns to kilometres. Consequently, its solutions are also universal …

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 …

This review is dedicated to recent progress in the active field of rogue waves, with an
emphasis on the analytical prediction of versatile rogue wave structures in scalar, vector …

The cylindrical rogue wave (RW) and breathers in a collisionless, unmagnetized, and warm
pair-ion plasma having thermal electrons and stationary negatively dust grains are …

Doubly localized two-dimensional rogue waves for the Davey–Stewartson I equation in the
background of dark solitons or a constant, are investigated by employing the Kadomtsev …

General rogue waves in the Davey–Stewartson (DS) II equation are derived by the bilinear
method, and the solutions are given through determinants. It is shown that the simplest …

The use of extreme events theory for the analysis of spontaneous epileptic brain activity is a
relevant multidisciplinary problem. It allows deeper understanding of pathological brain …

We report here a novel fiber-based test bed using tailored spectral shaping of an optical-
frequency comb to excite the formation of two Akhmediev breathers that collide during …

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 …