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N-fold B\"acklund transformation for the Davey-Stewartson equation isconstructed by using the analytic structure of the Lax eigenfunction in thecomplex eigenvalue plane. Explicit formulae can be obtained for a specifiedvalue of N. Lastly it is shown how generalized soliton solutions are generatedfrom the trivial ones

On the Analytical Approach to the N-Fold Bäcklund Transformation of Davey-Stewartson Equation