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N=3 Supersymmetric Extension of KdV Equation | | S.Bellucci
; E.Ivanov
; S.Krivonos
; | | Date: |
10 Oct 1992 | | Subject: | hep-th | | Abstract: | 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. | | Source: | arXiv, hep-th/9210059 | | Services: | Forum | Review | PDF | Favorites | |
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