Nonlinear Sciences – Exactly Solvable and Integrable Systems
Scientific paper
2006-05-23
SIGMA 2 (2006), 054, 9 pages
Nonlinear Sciences
Exactly Solvable and Integrable Systems
Published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/
Scientific paper
10.3842/SIGMA.2006.054
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.
Guha Partha
Olver Peter J.
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