On the blow-up structure for the generalized periodic Camassa-Holm and Degasperis-Procesi equations

Details On the blow-up structure for the generalized periodic Camassa-Holm and Degasperis-Procesi equations On the blow-up structure for the generalized periodic Camassa-Holm and Degasperis-Procesi equations

2010-09-13

arxiv.org/abs/1009.2466v2

Mathematics

Analysis of PDEs

26 pages

Scientific paper

Considered herein are the generalized Camassa-Holm and Degasperis-Procesi equations in the spatially periodic setting. The precise blow-up scenarios of strong solutions are derived for both of equations. Several conditions on the initial data guaranteeing the development of singularities in finite time for strong solutions of these two equations are established. The exact blow-up rates are also determined. Finally, geometric descriptions of these two integrable equations from non-stretching invariant curve flows in centro-equiaffine geometries, pseudo-spherical surfaces and affine surfaces are given.

Affiliated with

Also associated with

No associations

Rating

On the blow-up structure for the generalized periodic Camassa-Holm and Degasperis-Procesi equations 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 On the blow-up structure for the generalized periodic Camassa-Holm and Degasperis-Procesi equations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the blow-up structure for the generalized periodic Camassa-Holm and Degasperis-Procesi equations will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-338192