The N-fold Backlund transformation for the Davey-Stewartson Equation III is
constructed following the idea of Neugebauer and Meinel. The formula yield
s the N-soliton solution in a single step, for this particular nonlinear eq
uation;in (2+1) dimensions. It is shown that N=1 leads to the standard one
soliton solution. (C) 1998 Elsevier Science Ltd. All rights reserved.