Two-dimensional solitons in nonlinear lattices.
We address the existence and stability of two-dimensional solitons in optical or matter-wave media, which are supported by purely nonlinear lattices in the form of a periodic array of cylinders with self-focusing nonlinearity, embedded into a linear material. We show that such lattices can stabilize two-dimensional solitons against collapse. We also found that stable multipoles and vortex solitons are also supported by nonlinear lattices, provided that the nonlinearity exhibits saturation.
Kartashov
Yaroslav V
YV
ICFO-Institut de Ciencies Fotoniques, Universitat Politecnica de Catalunya, Mediterranean Technology Park, Barcelona, Spain. Yaroslav.Kartashov@icfo.es
Malomed
Boris A
BA
Vysloukh
Victor A
VA
Torner
Lluis
L