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Supersymmetric Non-local Gas Equation | | Ashok Das
; Z. Popowicz
; | | Date: |
20 Apr 2005 | | Subject: | Exactly Solvable and Integrable Systems | nlin.SI hep-th | | Abstract: | In this paper we study systematically the question of supersymmetrization of the non-local gas equation. We obtain both the N=1 and the N=2 supersymmetric generalizations of the system which are integrable. We show that both the systems are bi-Hamiltonian. While the N=1 supersymmetrization allows the hierarchy of equations to be extended to negative orders (local equations), we argue that this is not the case for the N=2 supersymmetrization. In the bosonic limit, however, the N=2 system of equations lead to a new coupled integrable system of equations. | | Source: | arXiv, nlin.SI/0504043 | | Services: | Forum | Review | PDF | Favorites | |
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