Geodesic Flow and Two (Super) Component Analog of the Camassa-Holm Equation
Exactly Solvable and Integrable Systems
2008-04-24 v1 Mathematical Physics
Differential Geometry
math.MP
Abstract
We derive the 2-component Camassa-Holm equation and corresponding N=1 super generalization as geodesic flows with respect to the metric on the extended Bott-Virasoro and superconformal groups, respectively.
Keywords
Cite
@article{arxiv.nlin/0605041,
title = {Geodesic Flow and Two (Super) Component Analog of the Camassa-Holm Equation},
author = {Partha Guha and Peter J. Olver},
journal= {arXiv preprint arXiv:nlin/0605041},
year = {2008}
}
Comments
Published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/