N = 1, 2 supersymmetric non-local gas equation |
| |
Authors: | Ashok Das Z. Popowicz |
| |
Affiliation: | (1) Department of Physics and Astronomy, University of Rochester, Rochester, New York 14627-0171, USA;(2) Institute of Theoretical Physics, University of Wroclaw, pl. M. Borna 9, 50-205 Wroclaw, Poland |
| |
Abstract: | In this paper we study the supersymmetrization of the N = 1 and N = 2 nonlocal gas equation. We show that this system is 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. Presented at the International Colloquium “Integrable Systems and Quantum Symmetries”, Prague, 16–18 June 2005. |
| |
Keywords: | solitons recursion operator supersymmetry |
本文献已被 SpringerLink 等数据库收录! |
|