Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9502863 | Journal of Mathematical Analysis and Applications | 2005 | 12 Pages |
Abstract
We show that all the Antonowicz-Fordy type coupled KdV equations have the same symmetry group and similar bi-Hamiltonian structures. It turns out that their configuration space is Diff(S1)âCâ(S1)Ë, where Diff(S1)Ë is the Bott-Virasoro group of orientation preserving diffeomorphisms of the circle, and all these systems can be interpreted as equations of a geodesic flow with respect to L2 metric on the semidirect product space Diff(S1)âCâ(S1)Ë.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Partha Guha,