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

被引：34

作者：

Guha, Partha ^{[1
]}

Olver, Peter J. ^{[2
]}

机构：

[1] SN Bose Natl Ctr Basic Sci, Kolkata 700098, W Bengal, India

[2] Univ Minnesota, Sch Math, Minneapolis, MN 55455 USA

来源：

SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS | 2006年 / 2卷

关键词：

geodesic flow; diffeomorphism; Virasoro orbit; Sobolev norm;

D O I：

10.3842/SIGMA.2006.054

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页数：9

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