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Supersymmetric integrable systems from geodesic flows on superconformal groups

Chandrashekar Devchand, Jeremy Schiff

nlin.SIarXiv:nlin/0008017

Abstract

We discuss the possible relationship between geodesic flow, integrability and supersymmetry, using fermionic extensions of the KdV equation, as well as the recently introduced supersymmetrisation of the Camassa-Holm equation, as illustrative examples.

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