%0 Journal Article
%T THE MINIMAL N=2 SUPEREXTENSION OF THE NLS EQUATION
%A S. Krivonos
%A A. Sorin
%J Physics
%D 1995
%I arXiv
%R 10.1016/0370-2693(95)00755-A
%X We show that the well known $N=1$ NLS equation possesses $N=2$ supersymmetry and thus it is actually the $N=2$ NLS equation. This supersymmetry is hidden in terms of the commonly used $N=1$ superfields but it becomes manifest after passing to the $N=2$ ones. In terms of the new defined variables the second Hamiltonian structure of the supersymmetric NLS equation coincides with the $N=2$ superconformal algebra and the $N=2$ NLS equation belongs to the $N=2$ $a=4$ KdV hierarchy. We propose the KP-like Lax operator in terms of the $N=2$ superfields which reproduces all the conserved currents for the corresponding hierarchy.
%U http://arxiv.org/abs/hep-th/9504084v1