Electronic Journal of Differential Equations, Vol. 2002(2002), No. 77, pp. 1-13. Title: A global factorization theorem for the ZS-AKNS system Author: Derchyi Wu (Academia Sinica, Taipei, Taiwan) Abstract: We prove a global Birkhoff factorization theorem for general loops with finite poles in the ZS-AKNS hierarchy (Zakharov-Shabat-Ablowitz-Kaup-Newell-Segur). We use the inverse scattering method. Submitted July 12, 2002. Published September 4, 2002. Math Subject Classifications: 53C99 Key Words: ZS-AKNS system; inverse scattering.