N-soliton solution for an integrable nonlocal discrete focusing nonlinear Schrodiriger equation

In this paper, by employing the Hirota's bilinear method, we construct the N-soliton solution for an integrable nonlocal discrete focusing nonlinear Schrodinger (dNLS(+)) equation, and give the asymptotic analysis of two-soliton solution. The soliton solutions can be reduced to spatial periodic solution or singular solution by choosing the different parameters. Under continuous limit, the discrete soliton yields the one of nonlocal focusing nonlinear Schrodinger equation. (C) 2016 Elsevier Ltd. All rights reserved.