Abstract

This paper presents report of the joint work with Z. Popowicz, which appeared in J. Phys. A, concerning the construction of a manifestly N = 2 supersymmetric heavenly equation in 2 + 1 dimensions. Its integrability properties have been derived from an N = 2 supersymmetric Lax pair, based on the n → ∞ limit of the sl(n;n + 1) superalgebra series. The superhydrodynamical type of restrictions to 1+1 dimensions have been analyzed.

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