• DOI:10.1088/0305-4470/37/18/007
• Corpus ID: 14879579

(Non)local Hamiltonian and symplectic structures, recursions and hierarchies: a new approach and applications to the N = 1 supersymmetric KdV equation

@article{Kersten2003NonlocalHA,
  title={(Non)local Hamiltonian and symplectic structures, recursions and hierarchies: a new approach and applications to the N = 1 supersymmetric KdV equation},
  author={P. H. M. Kersten and I. S. Krasil’shchik and Alexander Verbovetsky},
  journal={Journal of Physics A},
  year={2003},
  volume={37},
  pages={5003-5019}
}

• P. Kersten, I. Krasil’shchik, A. Verbovetsky
• Published 15 May 2003
• Physics
• Journal of Physics A

Using methods of Kersten et al (2004 J. Geom. Phys. 50 273–302) and Krasil'shchik and Kersten (2000 Symmetries and Recursion Operators for Classical and Supersymmetric Differential Equations (Dordrecht: Kluwer)), we accomplish an extensive study of the N = 1 supersymmetric Korteweg–de Vries (KdV) equation. The results include a description of local and nonlocal Hamiltonian and symplectic structures, five hierarchies of symmetries, the corresponding hierarchies of conservation laws, recursion operators for symmetries and generating functions of conservation laws. We stress that the main point of the paper is not just the results on super-KdV equation itself, but merely exposition of the efficiency of the geometrical approach and of the computational algorithms based on it.