Supersymmetry for integrable hierarchies on loop superalgebras
Abstract
The algebraic approach is employed to formulate N=2 supersymmetry transformations in the context of integrable systems based on loop superalgebras sl(p+1,p), p 1 with homogeneous gradation. We work with extended integrable hierarchies, which contain supersymmetric AKNS and Lund-Regge sectors. We derive the one-soliton solution for p=1 which solves positive and negative evolution equations of the N=2 supersymmetric model.
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