Exact solutions for a system of two coupled discrete nonlinear Schrödinger equations with a saturable nonlinearity

In this paper, we are going to solve a system of two coupled discrete nonlinear Schrödinger equations with a saturable nonlinearity, using the (G′/G)-expansion method. The traveling wave solutions found include hyperbolic functions, trigonometric functions and rational functions. From the hyperbolic functions solutions obtained in this study, the dark, bright and multiple dark solitons solutions are derived simultaneously using the variation of the parameter of saturation.