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Supersymmetric Non-local Gas Equation

Ashok Das·Z. Popowicz
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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.

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Ashok Das, Z. Popowicz. 2005-04-20. Supersymmetric Non-local Gas Equation. https://doi.org/10.1007/s10582-006-0012-y

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