Research Activities >
Electromagnetic Metamaterials and their
Practical and Theoretical Aspects
CSIC Building (#406),
Seminar Room 4122.
Quantitative Analysis of Stability and
Instability Dynamics of Positive Lattice Solitons
We present a unified approach for qualitative and
quantitative analysis of stability and instability
dynamics of positive bright solitons in
multi-dimensional focusing nonlinear media with a
potential (lattice), which can be periodic, periodic
with defects, quasiperiodic, single waveguide, etc.
We show that when the soliton is unstable, the type
of instability dynamic that develops depends on
which of two stability
conditions is violated. Specifically, violation of
the slope condition leads to a focusing instability,
whereas violation of the spectral condition leads to
a drift instability.
We also present a quantitative approach that allows
to predict the stability and instability strength.