Some exact and explicit solutions to a two-component, discrete, nonlinear Schroedinger model

Natural processes and phenomena often display discrete structure. The discrete nonlinear Schroedinger equations are used in both physics and biology to model periodic optical structures and energy transfer in proteins. In this study, we present a new application of the (G'/G)-expansion method to special, coupled, discrete, nonlinear Schroedinger-type equations. This application is shown to be an effective tool for constructing solitary and periodic wave profiles with arbitrary parameters. In addition, we provide rational solutions that have not been explicitly computed before. (author)