The solutions for the Ablowitz-Ladik-Lattice system with homotopy analysis method

Abstract

In this paper, we apply the homotopy Analysis Method (HAM) to obtain approximation analytical solutions of Ablowitz-Ladik-Lattice, that illustrate the validity and the great potential of the HAM in solving discrete Ablowitz-Ladik-Lattice. The results show that the proposed method is feasible and convenient.