The quest towards the integration of ultra-fast, high-precision optical clocks is reflected in the
large number of high-impact papers on the topic published in the last few years. This interest …

Optical rogue waves are rare, extreme fluctuations in the value of an optical field. The
term'optical rogue wave'was first used in the context of an analogy between pulse …

The Peregrine soliton is a localized nonlinear structure predicted to exist over 25 years ago,
but not so far experimentally observed in any physical system. It is of fundamental …

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 …

We present a method for finding the hierarchy of rational solutions of the self-focusing
nonlinear Schrödinger equation and present explicit forms for these solutions from first to …

The nonlinear Schrödinger equation (NLSE) is a central model of nonlinear science,
applying to hydrodynamics, plasma physics, molecular biology and optics. The NLSE admits …

We have numerically calculated chaotic waves of the focusing nonlinear Schrr̈odinger
equation (NLSE), starting with a plane wave modulated by relatively weak random waves …

Numerical simulations of the onset phase of continuous wave supercontinuum generation
from modulation instability show that the structure of the field as it develops can be …

The Hirota equation is a modified nonlinear Schrödinger equation (NLSE) that takes into
account higher-order dispersion and time-delay corrections to the cubic nonlinearity. In …

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 …