Aratyn, H.Gomes, J. F. [UNESP]Zimerman, A. H. [UNESP]2014-05-272014-05-272004-01-12Nuclear Physics B, v. 676, n. 3, p. 537-571, 2004.0550-3213http://hdl.handle.net/11449/67622Supersymmetry is formulated for integrable models based on the sl(2 1) loop algebra endowed with a principal gradation. The symmetry transformations which have half-integer grades generate supersymmetry. The sl(2 1) loop algebra leads to N=2 supersymmetric mKdV and sinh-Gordon equations. The corresponding N=1 mKdV and sinh-Gordon equations are obtained via reduction induced by twisted automorphism. Our method allows for a description of a non-local symmetry structure of supersymmetric integrable models. © 2003 Elsevier B.V. All rights reserved.537-571engSupersymmetry and the KdV equations for integrable hierarchies with a half-integer gradationArtigo10.1016/j.nuclphysb.2003.10.021Acesso restrito2-s2.0-034815973792877760781495518215976645016606