Super extension of Bell polynomials with applications to supersymmetric equations

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  • Engui Fan
  • Y. C. Hon

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Original languageEnglish
Article number13503
Journal / PublicationJournal of Mathematical Physics
Issue number1
Publication statusPublished - 4 Jan 2012


In this paper, we generalize classical Bell polynomials into super version, which are found to be effective in systematically constructing super bilinear representation, bilinear Bäcklund transformation, Lax pair, and infinite conservation laws of supersymmetric equations. We take N = 1 supersymmetric KdV equation and N = 2 supersymmetric sine-Gordon equation to illustrate this procedure. © 2012 American Institute of Physics.