69 citations · 682 across the 31 of their papers we have counts for
Showing 2009 · math-phShow all
2 papers · 2 filters
math-ph2009★ 69 cited
Integrability of invariant metrics on the diffeomorphism group of the circle
Adrian Constantin, Boris Kolev
Each H^k Sobolev inner product defines a Hamiltonian vector field X_k on the regular dual of the Lie algebra of the diffeomorphism group of the circle. We show that only X_0 and X_…
math-ph2009★ 61 cited
The Degasperis-Procesi equation as a non-metric Euler equation
Joachim Escher, Boris Kolev
In this paper we present a geometric interpretation of the periodic Degasperis-Procesi equation as the geodesic flow of a right invariant symmetric linear connection on the diffeom…