We review both theoretical and experimental advances in the recently emerged field of
modulated photonic lattices. These artificial periodic dielectric structures provide a powerful …

Temporal optical solitons have been the subject of intense research due to their intriguing
physics and applications in ultrafast optics and supercontinuum generation. Conventional …

We numerically solve a generalized nonlinear Schrödinger equation and find a family of
pure-quartic solitons (PQSs), existing through a balance of positive Kerr nonlinearity and …

We propose an efficient method for spatial filtering of light beams by propagating them
through two-dimensional (also three dimensional) chirped photonic crystals, ie, through the …

We study analytically and numerically vortex solitons in competing cubic-quintic nonlinear
media with normal and anomalous fourth order diffraction (FOD). Bifurcated solutions of …

We investigate light propagation in the materials with periodically modulated gain-loss
profile in both transverse and longitudinal directions with respect to the direction of light …

We report the observation of spontaneous localization of energy in two spatial dimensions in
the context of nonlinear electrical lattices. Both stationary and moving self-localized modes …

We put forward the concept of resonant, Rabi-like oscillatons and adiabatic transitions
between confined light modes in properly modulated multimode waveguides. The …

We observe the formation of discrete diffraction-managed optical solitons in arrays of
periodically curved coupled waveguides for two types of modulated structures: laser-written …

We consider a class of nonlinear Schrödinger/Gross–Pitaevskii (NLS/GP) equations with
periodic potentials having an even symmetry. We construct “solitons,” centered about any …