Supersymmetric Polytropic Gas Dynamics

Details Supersymmetric Polytropic Gas Dynamics Supersymmetric Polytropic Gas Dynamics

2001-09-28

arxiv.org/abs/hep-th/0109223v2

Phys.Lett.A296:15-26,2002

Physics

High Energy Physics

High Energy Physics - Theory

15 pages

Scientific paper

10.1016/S0375-9601(02)00145-7

We construct the N=1 supersymmetric extension of the polytropic gas dynamics. We give both the Lagrangian as well as the Hamiltonian description of this system. We construct the infinite set of "Eulerian'' conserved charges associated with this system and show that they are in involution, thereby proving complete integrability of this system. We construct the SUSY -B extension of this system as well and comment on the similarities and differences between this system and an earlier construction of the supersymmetric Chaplygin gas. We also derive the N=1 supersymmetric extension of the elastic medium equations, which, however, do not appear to be integrable.

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