Alexander VERBOVETSKY
Independent University of Moscow,
11 B. Vlasevsky Srt., 121002 Moscow, RUSSIA
E-mail: verbovet@mccme.ru

Paul H.M. KERSTEN
Faculty of Mathematical Sciences,
University of Twente,
P.O.Box 217, TWRC-building A209,
7500 AE ENSCHEDE, THE NETHERLANDS
E-mail: kerstenphm@math.utwente.nl

The N = 1 supersymmetric KdV equation: (non)local Hamiltonian and symplectic structures, recursions, and hierarchies

Abstract:
Using methods discused else where, we accomplish an extensive study of the N = 1 supersymmetric Korteweg-de Vries equation. Our results generalize the ones obtained previously and include: a description of local and nonlocal Hamiltonian and symplectic structures, five hierarchies of symmetries (including a new one), the corresponding hierarchies of conservation laws, recursion operators for symmetries and generating functions of conservation laws.