Published April 2004
| Version v1
Journal article
Geodesic flow on (super-) Bott-Virasoro group and Harry Dym family
Creators
- 1. Department of Mathematics, University of Colorado at Colorado Springs, 1420 Austin Bluffs Parkway, Colorado Springs, Colorado 80933-7150 (United States)
- 2. S.N. Bose National Centre for Basic Sciences, JD Block, Sector-3, Salt Lake, Calcutta-700098 (India)
Description
We show various Harry Dym type equations and Super Harry Dym equations, introduced by Brunelli, Das, and Popowicz [2003 Supersymmetric extensions of the Harry Dym hierarchy, J. Math. Phys. 44, 4756-4767 (2003)], follow from the geodesic flows on the Bott-Virasoro group and its supersymmetric generalization, superconformal group. In fact, their bi-Hamiltonian structures can be derived from the Lie Poisson structures on the (super-) Bott-Virasoro orbit. We also show that that m2KdV or Calogero-Degasperis equation is also connected to the Bott-Virasoro group
Additional details
Identifiers
- DOI
- 10.1063/1.1645978;
Publishing Information
- Journal Title
- Journal of Mathematical Physics
- Journal Volume
- 45
- Journal Issue
- 4
- Journal Page Range
- p. 1561-1570
- ISSN
- 0022-2488
- CODEN
- JMAPAQ
INIS
- Country of Publication
- United States
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 36002569
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS;
- Descriptors DEI
- ALGEBRA; DIFFERENTIAL GEOMETRY; GROUP THEORY; HAMILTONIANS; KORTEWEG-DE VRIES EQUATION; LIE GROUPS; MATHEMATICAL SOLUTIONS; POISSON EQUATION; SUPERSYMMETRY
- Descriptors DEC
- DIFFERENTIAL EQUATIONS; EQUATIONS; GEOMETRY; MATHEMATICAL OPERATORS; MATHEMATICS; PARTIAL DIFFERENTIAL EQUATIONS; QUANTUM OPERATORS; SYMMETRY; SYMMETRY GROUPS
Optional Information
- Notes
- (c) 2004 American Institute of Physics.