Existence of dark solitons in a class of stationary nonlinear Schrodinger equations with periodically modulated nonlinearity and periodic asymptotics.
J. Belmonte-Beitia, J. Cuevas
Journal of Mathematical Physics 52, 032702 (2011)
MOLAB authors
Belmonte Beitia, Juan. 
Abstract
In this paper, we give a proof of the existence of stationary dark soliton solutions or heteroclinic orbits of nonlinear equations of Schrödinger type with periodic inhomogeneous nonlinearity. The result is illustrated with examples of dark solitons for cubic and photorefractive nonlinearities.