Solitary wave and periodic wave solutions for the quintic discrete nonlinear Schrodinger equation

In this paper, we construct a new truncation function expansion approach to investigate exact solutions for the quintic discrete nonlinear Schrodinger equation. As a result, many types of exact solutions are obtained which includes discrete bell-type solitary wave solution, solitary wave solution, triangular periodic wave solution, alternating phase bell-type solitary wave solution, alternating phase solitary wave solution, and alternating phase triangular periodic wave solution. The properties of some new exact solutions are shown in figures. (C) 2007 Elsevier Ltd. All rights reserved.