Summary: By means of variational iteration method the solutions of Burgers equation and coupled Burgers equations are exactly obtained, a comparison with the Adomian decomposition method is made, showing that the former is more effective than the later. In this paper, J. H. He
’s variational iteration method [Appl. Math. Comput. 114, No. 2–3, 115–123 (2000; Zbl 1027.34009
)] is introduced to overcome the difficulty arising in calculating Adomian polynomials.