On weakly non-local, nilpotent, and super-recursion operators for N=1 super-equations

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dc.creatorKiselev, A. V.
dc.creatorWolf, T.
dc.date2005-11-26
dc.date.accessioned2026-07-07T06:52:02Z
dc.date.available2026-07-07T06:52:02Z
dc.descriptionWe consider nonlinear, scaling-invariant N=1 boson + fermion supersymmetric systems whose right-hand sides are homogeneous differential polynomials and satisfy some natural assumptions. We select the super-systems that admit infinitely many higher symmetries generated by recursion operators; we further restrict ourselves to the case when the dilaton dimensions of the bosonic and fermionic super-fields coincide and the weight of the time is half the weight of the spatial variable. We discover five systems that satisfy these assumptions; one system is transformed to the purely bosonic Burgers equation. We construct local, nilpotent, triangular, weakly non-local, and super-recursion operators for their symmetry algebras.
dc.description6 pages, no figures. Proc. Int. Workshop `Supersymmetries and Quantum Symmetries-05,' JINR, Dubna, 27-31 July 2005. MSC 2000: 35Q53, 37K05, 37K10, 81T40
dc.identifierhttps://arxiv.org/abs/nlin/0511056
dc.identifierhttp://arxiv.org/abs/nlin/0511056
dc.identifierProc. Int. Workshop ``Supersymmetries and Quantum Symmetries'' (SQS'05), Dubna, July 24-31, 2005, JINR, p. 234-240
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/105179
dc.subjectExactly Solvable and Integrable Systems
dc.subjectMathematical Physics
dc.titleOn weakly non-local, nilpotent, and super-recursion operators for N=1 super-equations
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