Supersymmetry for integrable hierarchies on loop superalgebras

@article{Aratyn2005SupersymmetryFI,
  title={Supersymmetry for integrable hierarchies on loop superalgebras},
  author={Henrik Aratyn and J F Gomes and G. M. de Castro and M. B. Silka and Abraham Hirsz Zimerman},
  journal={Journal of Physics A},
  year={2005},
  volume={38},
  pages={9341-9357}
}
An algebraic approach is employed to formulate N = 2 supersymmetry transformations in the context of integrable systems based on loop superalgebras , 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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