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

Partha Guha, Peter J. Olver

Research output: Contribution to journalArticlepeer-review

32 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 languageEnglish (US)
Article number054
JournalSymmetry, Integrability and Geometry: Methods and Applications (SIGMA)
Volume2
DOIs
StatePublished - 2006

Keywords

  • Diffeomorphism
  • Geodesic flow
  • Sobolev norm
  • Virasoro orbit

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