The supersymmetric Camassa-Holm equation and geodesic flow on the superconformal group

@inproceedings{Devchand1998TheSC,
title={The supersymmetric Camassa-Holm equation and geodesic flow on the superconformal group},
author={Chandrashekar Devchand and Jeremy Schiff},
year={1998}
}

We study a family of fermionic extensions of the Camassa-Holm equation. Within this family we identify three interesting classes: (a) equations, which are inherently hamiltonian, describing geodesic flow with respect to an H metric on the group of superconformal transformations in two dimensions, (b) equations which are hamiltonian with respect to a different hamiltonian structure and (c) supersymmetric equations. Classes (a) and (b) have no intersection, but the intersection of classes (a) and… CONTINUE READING