Integrable and non-integrable equations with peakons
Exactly Solvable and Integrable Systems
2017-08-23 v1
Abstract
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.
Cite
@article{arxiv.nlin/0209008,
title = {Integrable and non-integrable equations with peakons},
author = {A. Degasperis and D. D. Holm and A. N. W. Hone},
journal= {arXiv preprint arXiv:nlin/0209008},
year = {2017}
}
Comments
Proceedings of Nonlinear Physics II: Theory and Experiment, Gallipoli 2002