A Class of Soliton Solutions for the N=2 Super mKdV/Sinh-Gordon Hierarchy

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dc.creatorAratyn, H.
dc.creatorGomes, J. F.
dc.creatorYmai, L. H.
dc.creatorZimerman, A. H.
dc.date2007-12-04
dc.date.accessioned2026-07-07T11:39:09Z
dc.date.available2026-07-07T11:39:09Z
dc.descriptionEmploying the Hirota's method, a class of soliton solutions for the N=2 super mKdV equations is proposed in terms of a single Grassmann parameter. Such solutions are shown to satisfy two copies of N=1 supersymmetric mKdV equations connected by nontrivial algebraic identities. Using the super Miura transformation, we obtain solutions of the N=2 super KdV equations. These are shown to generalize solutions derived previously. By using the mKdV/sinh-Gordon hierarchy properties we generate the solutions of the N=2 super sinh-Gordon as well.
dc.description8 pages
dc.identifierhttps://arxiv.org/abs/0712.0626
dc.identifierhttp://arxiv.org/abs/0712.0626
dc.identifierJ.Phys.A41:312001,2008
dc.identifierdoi:10.1088/1751-8113/41/31/312001
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/199818
dc.subjectExactly Solvable and Integrable Systems
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.titleA Class of Soliton Solutions for the N=2 Super mKdV/Sinh-Gordon Hierarchy
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