Discrete surface solitons in two-dimensional anisotropic photonic   lattices
  We study nonlinear surface modes in two-dimensional {\em anisotropic} periodic photonic lattices and demonstrate that, in a sharp contrast to one-dimensional discrete surface solitons, the mode threshold power is lower at the surface, and two-dimensional discrete solitons can be generated easier near the lattice corners and edges. We analyze the crossover between effectively one- and two-dimensional regimes of the surface-mediated beam localization in the lattice. 
Rodrigo A. Vicencio, Sergej Flach, Mario I. Molina, and Yuri S.   Kivshar