By using new Lax pairs, we prove that the continuous limits of the gauge eq
uivalent structures of the discrete nonlinear Schrodinger equation for kapp
a = 1 and -1 are exactly the classical ones of the nonlinear Schrodinger eq
uation for kappa = 1 and -1 respectively. (C) 2000 Elsevier Science B.V. Al
l rights reserved.