(Non)local Hamiltonian and symplectic structures, recursions, and hierarchies: a new approach and applications to the N=1 supersymmetric KdV equation

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dc.creatorKersten, Paul
dc.creatorKrasil'shchik, Iosif
dc.creatorVerbovetsky, Alexander
dc.date2003-05-15
dc.date2004-04-23
dc.date.accessioned2026-07-07T05:34:44Z
dc.date.available2026-07-07T05:34:44Z
dc.descriptionUsing methods of math.DG/0304245 and [I.S.Krasil'shchik and P.H.M.Kersten, Symmetries and recursion operators for classical and supersymmetric differential equations, Kluwer, 2000], we accomplish an extensive study of the N=1 supersymmetric Korteweg-de Vries equation. The results include: a description of local and nonlocal Hamiltonian and symplectic structures, five hierarchies of symmetries, the corresponding hierarchies of conservation laws, recursion operators for symmetries and generating functions of conservation laws. We stress that the main point of the paper is not just the results on super-KdV equation itself, but merely exposition of the efficiency of the geometrical approach and of the computational algorithms based on it.
dc.description16 pages, AMS-LaTeX, Xy-pic, dvi-file to be processed by dvips. v2: nonessential improvements of exposition, title changed
dc.identifierhttps://arxiv.org/abs/nlin/0305026
dc.identifierhttp://arxiv.org/abs/nlin/0305026
dc.identifierJ. Phys. A: Math. Gen. 37 (2004), 5003-5019
dc.identifierdoi:10.1088/0305-4470/37/18/007
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/80480
dc.subjectExactly Solvable and Integrable Systems
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.subjectDifferential Geometry
dc.title(Non)local Hamiltonian and symplectic structures, recursions, and hierarchies: a new approach and applications to the N=1 supersymmetric KdV equation
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