Introduction:
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The nonlinear Schrödinger (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. A few of the most important applications of 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 special session is to bring together experts, as well as young researchers, working on the theory, the numerical simulation and the experimental study of nonlinear Schrödinger equations and their applications. The focus is to establish a fruitful discussion of the current state-of-the-art and an examination of future challenges and directions of interest. 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. |
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