Geodesic Flow and Two (Super) Component Analog of the Camassa-Holm Equation

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2006
• ISSN: 1815-0659
• Main Authors: Guha, P., Olver, P.J.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2006
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/146168
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Geodesic Flow and Two (Super) Component Analog of the Camassa-Holm Equation / P. Guha, P.J. Olver // Symmetry, Integrability and Geometry: Methods and Applications. — 2006. — Т. 2. — Бібліогр.: 26 назв. — англ.

We derive the 2-component Camassa-Holm equation and corresponding N = 1 super generalization as geodesic flows with respect to the H1 metric on the extended Bott-Virasoro and superconformal groups, respectively.