Geodesic Flow and Two (Super) Component Analog of the Camassa-Holm Equation
Partha Guha, Peter J. Olver
Abstract
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.
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