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Starting from superdifferential operators in an $N=1$ superfield formulation,we present a systematic prescription for the derivation of classical $N=1$ and$N=2$ super W-algebras by imposing a zero-curvature condition on the connectionof the corresponding first order system. We illustrate the procedure on thefirst non-trivial example (beyond the $N=1$ superconformal algebra) and alsocomment on the relation with the Gelfand-Dickey construction of $W$-algebras.Comment: 18 pages, tex, LMU-TPW 93-0

CLASSICAL N=1 and N=2 SUPER W ALGEBRAS FROM A ZERO-CURVATURE CONDITION