## Abstract

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 supersymmetric α=1 KdV hierarchy possesses two different subalgebras of N=2 supersymmetry.

Original language | English |
---|---|

Pages (from-to) | 397-406 |

Number of pages | 10 |

Journal | Physics letters A |

Volume | 300 |

Issue number | 4-5 |

DOIs | |

Publication status | Published - 2002 |

## Keywords

- Supersymmetry
- Recursion operator
- Discrete symmetries
- Completely integrable systems
- Bi-Hamiltonian structure

## Fingerprint

Dive into the research topics of 'Bi-Hamiltonian structure of the*N*=2 supersymmetric α=1 KdV hierarchy'. Together they form a unique fingerprint.