| Contents |
| We consider the existence, stability and dynamics
of
nonlinear excitations,
for a quasi-two-dimensional polariton condensate
in the presence of pumping and nonlinear damping.
In particular we report that, contrary to what is know,
e.g., for the atomic BEC case, {\it stable} stationary
gray ring solitons can be found for polariton condensates
in suitable parametric regimes.
iWe claim that these can be thought of as radial forms of Nozaki-Bekki holes.
In other regimes, however, these
may suffer symmetry breaking instabilities.
The dynamical, pattern-forming implications of the above instabilities
are explored through direct numerical simulations and, in turn, give rise
to waveforms with triangular or quadrupolar symmetry, which we also
explore. |
|