Solitons, nonlinear self-trapped wavepackets, have been extensively studied in many and
diverse branches of physics such as optics, plasmas, condensed matter physics, fluid …

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

In this paper we consider systems of coupled Schrödinger equations which appear in
nonlinear optics. The problem has been considered mostly in the one-dimensional case …

We study existence and phase separation, and the relation between these two aspects, of
positive bound states for the nonlinear elliptic system {-Δ u_i+ λ _i u_i= ∑\nolimits _ j= 1^ d β …

In this paper, we consider the following minimizing problem with two constraints: inf E (u)|
u=(u 1, u 2),∥ u 1∥ L 2 2= α 1,∥ u 2∥ L 2 2= α 2, where α 1, α 2> 0 and E (u) is defined by …

We establish the uniqueness of ground states of some coupled nonlinear Schrödinger
systems in the whole space. We firstly use Schwartz symmetrization to obtain the existence …

In this paper, we establish two new types of invariant sets for the coupled nonlinear
Schrödinger system in the Euclidean n-space R n and derive two sharp thresholds of blow …

We present the first experimental observation of modulation instability and spontaneous
pattern formation with incoherent white light emitted from an incandescent light bulb. We …

We report on the first (to our knowledge) experimental observation of higher-order modes
guided by soliton-induced waveguides in nematic liquid crystals. We find that the nematicon …

Detailed experimental studies of the dynamics of self-trapped beams of white light (400−
800 nm) in a photosensitive organosiloxane medium are presented. Self-trapped white light …