N=3 Supersymmetric Extension of KdV Equation
| dc.creator | Bellucci, S. | |
| dc.creator | Ivanov, E. | |
| dc.creator | Krivonos, S. | |
| dc.date | 1992-10-10 | |
| dc.date.accessioned | 2026-07-07T04:18:54Z | |
| dc.date.available | 2026-07-07T04:18:54Z | |
| dc.description | We construct a one-parameter family of N=3 supersymmetric extensions of the KdV equation as a Hamiltonian flow on N=3 superconformal algebra and argue that it is non-integrable for any choice of the parameter. Then we propose a modified N=3 super KdV equation which possesses the higher order conserved quantities and so is a candidate for an integrable system. Upon reduction to N=2, it yields the recently discussed ``would-be integrable'' version of the N=2 super KdV equation. In the bosonic core it contains a coupled system of the KdV type equation and a three-component generalization of the mKdV equation. We give a Hamiltonian formulation of the new N=3 super KdV equation as a flow on some contraction of the direct sum of two N=3 superconformal algebras. | |
| dc.description | 13 pages, LaTeX | |
| dc.identifier | https://arxiv.org/abs/hep-th/9210059 | |
| dc.identifier | http://arxiv.org/abs/hep-th/9210059 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/53383 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | N=3 Supersymmetric Extension of KdV Equation | |
| dc.type | text |