Bi-Hamiltonian structure of the N=2 supersymmetric {\alpha}=1 KdV hierarchy
Exactly Solvable and Integrable Systems
2015-06-26 v1 High Energy Physics - Theory
Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.nlin/0201061,
title = {Bi-Hamiltonian structure of the N=2 supersymmetric {\alpha}=1 KdV hierarchy},
author = {P. H. M. Kersten and A. S. Sorin},
journal= {arXiv preprint arXiv:nlin/0201061},
year = {2015}
}
Comments
12 pages, LaTex