Bi-Hamiltonian structure of the N=2 supersymmetric α=1 KdV hierarchy

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Kersten, P.H.M. and Sorin, A.S. (2002) Bi-Hamiltonian structure of the N=2 supersymmetric α=1 KdV hierarchy. Physics Letters A, 300 (4-5). pp. 397-406. ISSN 0375-9601

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Abstract:The N=2 supersymmetric α=1 KdV hierarchy in N=2 superspace is considered and its rich symmetry structure is uncovered. New nonpolynomial and nonlocal, bosonic and fermionic symmetries and Hamiltonians, bi-Hamiltonian structure as well as a recursion operator connecting all symmetries and Hamiltonian structures of the N=2 α=1 KdV hierarchy are constructed in explicit form. It is observed that the algebra of symmetries of the N=2 supersymmetric α=1 KdV hierarchy possesses two different subalgebras of N=2 supersymmetry.
Item Type:Article
Copyright:© 2002 Elsevier
Faculty:
Electrical Engineering, Mathematics and Computer Science (EEMCS)
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Link to this item:http://purl.utwente.nl/publications/74860
Official URL:http://dx.doi.org/10.1016/S0375-9601(02)00852-6
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