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

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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.
Published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/

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Exactly Solvable and Integrable Systems, Mathematical Physics, Differential Geometry

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http://salesiana.dossiersoluciones.com/handle/123456789/159571

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/nlin/0605041
 http://arxiv.org/abs/nlin/0605041
 SIGMA 2 (2006), 054, 9 pages
 doi:10.3842/SIGMA.2006.054

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