Stable surface solitons in truncated complex potentials
  We show that surface solitons in the one-dimensional nonlinear Schr\"odinger equation with truncated complex periodic potential can be stabilized by linear homogeneous losses, which are necessary to balance gain in the near-surface channel arising from the imaginary part of potential. Such solitons become stable attractors when the strength of homogeneous losses acquires values from a limited interval and they exist in focusing and defocusing media. The domains of stability of surface solitons shrink with increase of the amplitude of imaginary part of complex potential. 
Yingji He, Dumitru Mihalache, Xing Zhu, Lina Guo, and Yaroslav V.   Kartashov
physics.optics