Physics – Mathematical Physics
Scientific paper
2009-08-04
Mathematische Zeitschrift 269, 3 (2011) pp 1137-1153
Physics
Mathematical Physics
17 pages
Scientific paper
10.1007/s00209-010-0778-2
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 diffeomorphism group of the circle. We also show that for any evolution in the family of $b$-equations there is neither gain nor loss of the spatial regularity of solutions. This in turn allows us to view the Degasperis-Procesi and the Camassa-Holm equation as an ODE on the Fr\'echet space of all smooth functions on the circle.
Escher Joachim
Kolev Boris
No associations
LandOfFree
The Degasperis-Procesi equation as a non-metric Euler equation does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with The Degasperis-Procesi equation as a non-metric Euler equation, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Degasperis-Procesi equation as a non-metric Euler equation will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-557600