### Abstract

Original language | English |
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Place of Publication | Enschede |

Publisher | University of Twente, Department of Applied Mathematics |

Publication status | Published - 2002 |

### Publication series

Name | Memorandum |
---|---|

Publisher | Department of Applied Mathematics, University of Twente |

No. | 1615 |

ISSN (Print) | 0169-2690 |

### Fingerprint

### Keywords

- MSC-35Q51
- MSC-35Q53
- IR-65802
- EWI-3435
- MSC-35Q58

### Cite this

*Bi-Hamiltonian structure of the $N=2$ supersymmetric $\alpha = 1$ KdV hierarchy*. (Memorandum; No. 1615). Enschede: University of Twente, Department of Applied Mathematics.

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*Bi-Hamiltonian structure of the $N=2$ supersymmetric $\alpha = 1$ KdV hierarchy*. Memorandum, no. 1615, University of Twente, Department of Applied Mathematics, Enschede.

**Bi-Hamiltonian structure of the $N=2$ supersymmetric $\alpha = 1$ KdV hierarchy.** / Kersten, P.H.M.; Sorin, A.S.

Research output: Book/Report › Report › Other research output

TY - BOOK

T1 - Bi-Hamiltonian structure of the $N=2$ supersymmetric $\alpha = 1$ KdV hierarchy

AU - Kersten, P.H.M.

AU - Sorin, A.S.

N1 - Imported from MEMORANDA

PY - 2002

Y1 - 2002

N2 - 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.

AB - 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.

KW - MSC-35Q51

KW - MSC-35Q53

KW - IR-65802

KW - EWI-3435

KW - MSC-35Q58

M3 - Report

T3 - Memorandum

BT - Bi-Hamiltonian structure of the $N=2$ supersymmetric $\alpha = 1$ KdV hierarchy

PB - University of Twente, Department of Applied Mathematics

CY - Enschede

ER -