This Colloquium presents an overview of the research on nonlinear electromagnetic
metamaterials. The developed theoretical approaches and experimental designs are …

Controllable and dispersive magnetic permeability in the metamaterials (MMs) provides us
more freedom to harness the propagation of ultrashort electromagnetic pulses at will. Here …

We have investigated modulation instability (MI) in metamaterials (MM) with both cubic and
quintic nonlinearities, based on a model appropriate for pulse propagation in MM with cubic …

Considering the theory of electromagnetic waves from the Maxwell's equations, we
introduce a (3+ 1)-dimensionsal cubic-quintic complex Ginzburg-Landau equation …

In this paper we carry out a theoretical investigation on the propagation of spatiotemporal
solitons (light bullets) in the nonlinear metamaterial waveguides. Our theoretical study is …

The nonlinear optical coupler with a negative-index metamaterial (NIM) channel is different
from a conventional one, mainly in that the former has an effective feedback mechanism due …

The topics here deal with some current progress in electromagnetic wave propagation in a
family of substances known as metamaterials. To begin with, it is discussed how a pulse can …

In recent times, materials exhibiting frequency-dependent optical nonlinearities, such as
nanoparticle-doped glasses and other metamaterials, have gathered significant interest. The …

We analyze modulation instability (MI) in metamaterials with saturable and focusing
nonlinearity according to the propagation model, including the self-steepening (SS) …

A fundamental discussion of linearly polarised bright spatial soliton beams that are localised
in a planar waveguide is developed in a special way that leads to the introduction of …