For anyone looking to understand photonic crystals, this systematic, rigorous, and
pedagogical introduction is a must. Here you'll find intuitive analytical and semi-analytical …

An exactly solvable discrete PT invariant nonlinear Schrödinger-like model is introduced. It
is an integrable Hamiltonian system that exhibits a nontrivial nonlinear PT symmetry. A …

It has been known for some time that nonlinearity and discreteness play important roles in
many branches of condensed-matter physics as evidenced by the appearance of domain …

We report on the observation of spatially localized excitations in a ladder of small Josephson
junctions. The excitations are whirling states which persist under a spatially homogeneous …

The nonlinear vibrational properties of a periodic micromechanical oscillator array have
been measured. For sufficiently large amplitude of the driver, the optic mode of the di …

In this paper we review a number of recent developments in the study of the Discrete
Nonlinear Schrödinger (DNLS) equation. Results concerning ground and excited states …

Graphene is the strongest material ever studied and can be an efficient substitute for silicon.
This six-volume handbook focuses on fabrication methods, nanostructure and atomic …

Observation of Vortex-Ring ‘‘Discrete’’ Solitons in 2D Photonic Lattices Page 1 Observation of
Vortex-Ring ‘‘Discrete’’ Solitons in 2D Photonic Lattices Jason W. Fleischer,1,2 Guy Bartal,1 Oren …

Fundamental and vortex solitons in a two-dimensional optically induced waveguide array
are reported. In the strong localization regime the fundamental soliton is largely confined to …

We experimentally prove that light propagation in a discrete system, ie, an array of coupled
waveguides, exhibits striking anomalies. We show that refraction is restricted to a cone …