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 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 …

We propose a detailed stability analysis of the Lugiato-Lefever model for Kerr optical
frequency combs in whispering-gallery-mode resonators when they are pumped in either …

We report and discuss analytical solutions of the vector nonlinear Schrödinger equation that
describe rogue waves in the defocusing regime. This family of solutions includes bright-dark …

We study the dynamics of high-order rogue waves (RWs) in two-component coupled
nonlinear Schrödinger equations. We find that four fundamental rogue waves can emerge …

In this paper, we consider the complex modified Korteweg–de Vries (mKdV) equation as a
model of few-cycle optical pulses. Using the Lax pair, we construct a generalized Darboux …

The formation of extreme localizations in nonlinear dispersive media can be explained and
described within the framework of nonlinear evolution equations, such as the nonlinear …

We describe a general N-solitonic solution of the focusing nonlinear Schrödinger equation
in the presence of a condensate by using the dressing method. We give the explicit form of …

We demonstrate that wave-breaking dramatically affects the dynamics of nonlinear
frequency conversion processes that operate in the regime of high efficiency (strong multiple …

General rogue waves in the focusing and defocusing Ablowitz–Ladik equations are derived
by the bilinear method. In the focusing case, it is shown that rogue waves are always …