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

Partha Guha·Peter J. Olver
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Abstract

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.

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Partha Guha, Peter J. Olver. 2006-05-23. Geodesic Flow and Two (Super) Component Analog of the Camassa-Holm Equation. https://doi.org/10.3842/sigma.2006.054

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