Supersymmetric integrable systems from geodesic flows on superconformal groups

Chand Devchand and Jeremy Schiff

in Proceedings of the International Seminar on Integrable Systems, Bonn 1999, Theoretical and Mathematical Physics 123 182-188 (2000).

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.