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arxiv: nlin/0605041 · v1 · submitted 2006-05-23 · 🌊 nlin.SI · math-ph· math.DG· math.MP

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

classification 🌊 nlin.SI math-phmath.DGmath.MP
keywords camassa-holmcomponentequationgeodesicsuperanalogbott-virasorocorresponding
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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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