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The Super W_3 Conformal Algebra and the Boussinesq Hierarchy

High Energy Physics - Theory 2015-06-26 v1

Abstract

The bihamiltonian structure of the N=2 Supersymmetric Boussinesq equation is found. It is not reduced to the corresponding classical structure and hence it describes the pure supersymmetric effect. For the supersymmetric Boussinesq equation which contains the classical partner the Lax pair is given explicitly. Thus we prove the integrability of the equation.

Keywords

Cite

@article{arxiv.hep-th/9305059,
  title  = {The Super W_3 Conformal Algebra and the Boussinesq Hierarchy},
  author = {Ziemowit Popowicz},
  journal= {arXiv preprint arXiv:hep-th/9305059},
  year   = {2015}
}

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12 pages