Supersymmetric Non-local Gas Equation

Details Supersymmetric Non-local Gas Equation Supersymmetric Non-local Gas Equation

2005-04-20

arxiv.org/abs/nlin/0504043v1

J.Math.Phys.46:082702,2005

Nonlinear Sciences

Exactly Solvable and Integrable Systems

RevTex, 7pages

Scientific paper

10.1007/s10582-006-0012-y

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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