We derive the 2-component Camassa-Holm equation and corresponding N = 1 super generalization as geodesic flows with respect to the H1metric on the extended Bott- Virasoro and superconformal groups, respectively.
|Original language||English (US)|
|Journal||Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)|
|State||Published - 2006|
- Geodesic flow
- Sobolev norm
- Virasoro orbit