Abstract
We present a manifestly N=2 supersymmetric formulation of the N=2 super-W 3 algebra (its classical version) in terms of the spin 1 and spin 2 supercurrents. Two closely related types of the Feigin-Fuchs representation for these supercurrents are found: via two chiral spin 1 2 superfields generating the N=2 extended U(1) Kac-Moody algebras and via two free chiral spin 0 superfields. We also construct a one-parameter family of N=2 super Boussinesq equations for which N=2 super-W 3 provides the second hamiltonian structure.
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