Geodesic Flow and Two (Super) Component Analog of the Camassa-Holm Equation
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.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
National Academy of Science of Ukraine
2006-05-01
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| Series: | Symmetry, Integrability and Geometry: Methods and Applications |
| Subjects: | |
| Online Access: | http://www.emis.de/journals/SIGMA/2006/Paper054/ |