A study of PT-symmetric Non-linear Schroedinger Equation
  Systems governed by the Non-linear Schroedinger Equation (NLSE) with various external PT-symmetric potentials are considered. Exact solutions have been obtained for the same through the method of ansatz, some of them being solitonic in nature. It is found that only the unbroken PT-symmetric phase is realized in these systems, characterized by real energies. 
K. Nireekshan Reddy, Subhrajit Modak, Kumar Abhinav and Prasanta K.   Panigrahi
quant-ph