Bi-Hamiltonian structure of the $N=2$ supersymmetric $\alpha = 1$ KdV hierarchy

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Kersten, P.H.M. and Sorin, A.S. (2002) Bi-Hamiltonian structure of the $N=2$ supersymmetric $\alpha = 1$ KdV hierarchy. [Report]

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Abstract:
The $N=2$ supersymmetric ${\alpha}=1$ 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 $N=2$ ${\alpha}=1$ KdV hierarchy are constructed in explicit form. It is observed that the algebra of symmetries of the $N=2$ supersymmetric ${\alpha}=1$ KdV hierarchy possesses two different subalgebras of $N=2$ supersymmetry.
Item Type:Report
Additional information:Imported from MEMORANDA
Faculty:
Electrical Engineering, Mathematics and Computer Science (EEMCS)
Link to this item:http://purl.utwente.nl/publications/65802
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