Geodesic Flow and Two (Super) Component Analog of the Camassa-Holm Equation
arXiv:nlin/0605041 · doi:10.3842/SIGMA.2006.054
Abstract
We derive the 2-component Camassa-Holm equation and corresponding N=1 super generalization as geodesic flows with respect to the $H^1$ metric on the extended Bott-Virasoro and superconformal groups, respectively.
Published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/