Bi-hamiltonian Structure of the N = 2 Supersymmetric Α = 1 Kdv Hierarchy Bi-hamiltonian Structure of the N=2 Supersymmetric Α = 1 Kdv Hierarchy
نویسندگان
چکیده
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 super-symmetric α = 1 KdV hierarchy possesses two different subalgebras of N = 2 supersymmetry.
منابع مشابه
Bi - Hamiltonian structure of the N = 2 supersymmetric α = 1 KdV hierarchy
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 observ...
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