Introduction:
The nonlinear Schroedinger (NLS) equation is used in
a very large variety of physical systems since it describes
at the lowest order the nonlinear propagation of modulated waves.
Some of the most important applications of the NLS equation emanate from
the realm on nonlinear optics and Bose-Einstein condensates.
The recent experimental realization of BECs and the ever growing
control and experimental advances in nonlinear optical systems
has ignited new and exciting developments.
From the mathematical point of view,
one of the most exciting aspects of these contexts
is the broad range of possible configurations including:
one to three spatial dimensions, one or many coupled fields,
tunable external potentials, and temporally or even spatially
variable nonlinearities, among many others.
The aim of this mini-symposium is to bring together experts, as well as
young researchers, working on the theory, the numerical simulation
and the experimental study of nonlinear Schroedinger
equations and their applications. This should be a
session appealing to theoretical physicists, experimental
physicists and applied mathematicians alike and will be a vehicle
for the exchange of ideas that could cross-fertilize different
disciplines and promote the initiation of new collaborations
that could address some of the pertinent open problems. |