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Symmetry, Integrability and Geometry: Methods and Applications, 2006, Volume 2, 054, 9 pp.
DOI: https://doi.org/10.3842/SIGMA.2006.054 (Mi sigma82) 		 
This article is cited in 34 scientific papers (total in 34 papers)

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

Partha Guhaa, Peter J. Olverb

a S. N. Bose National Centre for Basic Sciences, JD Block, Sector-3, Salt Lake, Calcutta-700098, India
b School of Mathematics, University of Minnesota, Minneapolis, MN 55455, USA
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DOI: https://doi.org/10.3842/SIGMA.2006.054
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.
Keywords: geodesic flow; diffeomorphism; Virasoro orbit; Sobolev norm.
Received: March 8, 2006; in final form May 8, 2006; Published online May 23, 2006
Bibliographic databases:
Document Type: Article
MSC: 53A07; 53B50
Language: English
Citation: Partha Guha, Peter J. Olver, “Geodesic Flow and Two (Super) Component Analog of the Camassa–Holm Equation”, SIGMA, 2 (2006), 054, 9 pp.
Citation in format AMSBIB
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