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

摘要

The N = 2 supersymmetric alpha = I 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 a = I KdV hierarchy are constructed in explicit form. It is observed that the algebra of symmetries of the N = 2 supersymmetric cl = I KdV hierarchy possesses two different subalgebras of N = 2 supersymmetry. (C) 2002 Elsevier Science B.V. All rights reserved. [References: 14]