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 …

Modulation instability is a fundamental process of nonlinear science, leading to the unstable
breakup of a constant amplitude solution of a physical system. There has been particular …

We review the different dynamical mechanisms leading to the emergence of coherent
structures in physical systems described by the integrable one-dimensional nonlinear …

We study the dynamics of Kuznetsov-Ma solitons (KMSs) in the framework of vector
nonlinear Schrödinger (Manakov) equations. An exact multiparameter family of solutions for …

Modulation instability is thoroughly investigated and a simple analytical model for its power
critically modifying the wave properties in terms of system parameters is derived and …

Instabilities are common phenomena frequently observed in nature, sometimes leading to
unexpected catastrophes and disasters in seemingly normal conditions. One prominent form …

The classical theory of modulation instability (MI) attributed to Bespalov–Talanov in optics
and Benjamin–Feir for water waves is just a linear approximation of nonlinear effects and …

Deep neural networks usually process information through multiple hidden layers. However,
most hardware reservoir computing recurrent networks only have one hidden reservoir …

We present breather solutions of the quintic integrable equation of the Schrödinger
hierarchy. This equation has terms describing fifth-order dispersion and matching nonlinear …