Geodesic flow and two (super) component analog of the camassa-holm equation

Partha Guha; Peter J. Olver

doi:10.3842/SIGMA.2006.054

Geodesic flow and two (super) component analog of the camassa-holm equation

Partha Guha, Peter J. Olver

Mathematics

University of Minnesota Twin Cities

Research output: Contribution to journal › Article › peer-review

36 Scopus citations

Abstract

We derive the 2-component Camassa-Holm equation and corresponding N = 1 super generalization as geodesic flows with respect to the H¹metric on the extended Bott- Virasoro and superconformal groups, respectively.

Original language	British English
Article number	054
Journal	Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
Volume	2
DOIs	https://doi.org/10.3842/SIGMA.2006.054
State	Published - 2006

Keywords

Diffeomorphism
Geodesic flow
Sobolev norm
Virasoro orbit

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10.3842/SIGMA.2006.054

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title = "Geodesic flow and two (super) component analog of the camassa-holm equation",

abstract = "We derive the 2-component Camassa-Holm equation and corresponding N = 1 super generalization as geodesic flows with respect to the H1metric on the extended Bott- Virasoro and superconformal groups, respectively.",

keywords = "Diffeomorphism, Geodesic flow, Sobolev norm, Virasoro orbit",

author = "Partha Guha and Olver, {Peter J.}",

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language = "British English",

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AU - Guha, Partha

AU - Olver, Peter J.

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N2 - We derive the 2-component Camassa-Holm equation and corresponding N = 1 super generalization as geodesic flows with respect to the H1metric on the extended Bott- Virasoro and superconformal groups, respectively.

AB - We derive the 2-component Camassa-Holm equation and corresponding N = 1 super generalization as geodesic flows with respect to the H1metric on the extended Bott- Virasoro and superconformal groups, respectively.

KW - Diffeomorphism

KW - Geodesic flow

KW - Sobolev norm

KW - Virasoro orbit

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DO - 10.3842/SIGMA.2006.054

M3 - Article

AN - SCOPUS:84889234693

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JO - Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

JF - Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

M1 - 054

ER -

Geodesic flow and two (super) component analog of the camassa-holm equation

Abstract

Keywords

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