Formation and stability of multidimensional structures in optics and atomic condensate: recent theoretical studies

摘要

I give a brief overview of recent results in the area of both (2+1)- and (3+l)-dimensional localized structures in some selected models in optics and atomic Bose-Einstein condensate. I concentrate on the existence, stability and robustness of these multidimensional localized structures and on the possibility of creation of spatiotemporal optical solitons in various optical settings.