Improved tanh-function method and the exact solutions for the hybrid-lattice and Ablowitz-Ladik-lattice

Abstract

In this paper, by using the improved tanhmethod, the hybridlattice system an d Ablowitzladiklattice system are reduced to nonlinear algebraic equations, and then the new exact solutions for these equations, which include exact soliton wave solutions and periodic solutions, are obtained through solving these nonlinear algebraic equations.