In this review we present recent theoretical and experimental progress on modulation
instability and parametric amplification processes in dispersion oscillating fibers. These …

Instabilities of uniform states are ubiquitous processes occurring in a variety of spatially
extended nonlinear systems. These instabilities are at the heart of symmetry breaking …

Temporal periodic modulation of the interatomic s-wave scattering length in Bose-Einstein
condensates is shown to excite subharmonic patterns in the atom density through a …

In this volume, six review articles which cover a broad range of topics of current interest in
modern optics are included. The first article by S. Saltiel, AA Sukhorukov and YS Kivshar …

Emergence of coherent structures and patterns at the nonlinear stage of modulation
instability of a uniform state is an inherent feature of many biological, physical and …

In negative-index materials (NIMs), the self-steepening (SS) effect is proven to be
anomalous in two aspects: First, it can be either positive or negative, with the zero SS point …

We provide a systematic analysis of geometric parametric instabilities in nonlinear graded-
index multimode fibers. Our approach implicitly accounts for self-focusing effects and …

Nonlinear instabilities are responsible for spontaneous pattern formation in a vast number of
natural and engineered systems, ranging from biology to galaxy buildup. We propose a new …

We present a theoretical and numerical study of light propagation in graded-index (GRIN)
multimode fibers where the core diameter has been periodically modulated along the …

We analyze the modulation instability induced by periodic variations of group velocity
dispersion and nonlinearity in optical fibers, which may be interpreted as an analogue of the …