Integrable and non-integrable equations with peakons

Details Integrable and non-integrable equations with peakons Integrable and non-integrable equations with peakons

2002-09-03

arxiv.org/abs/nlin/0209008v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

Proceedings of Nonlinear Physics II: Theory and Experiment, Gallipoli 2002

Scientific paper

We consider a one-parameter family of non-evolutionary partial differential equations which includes the integrable Camassa-Holm equation and a new equation first isolated by Degasperis and Procesi. A Lagrangian and Hamiltonian formulation is presented for the whole family of equations, and we discuss how this fits into a bi-Hamiltonian framework in the integrable cases. The Hamiltonian dynamics of peakons and some other special finite-dimensional reductions are also described.

Affiliated with

Also associated with

No associations

Rating

Integrable and non-integrable equations with peakons 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 Integrable and non-integrable equations with peakons, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Integrable and non-integrable equations with peakons will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-76941