A nonlinear generalization of the Camassa-Holm equation with peakon solutions
Pattern Formation and Solitons
2016-09-09 v1 Mathematical Physics
math.MP
Exactly Solvable and Integrable Systems
Abstract
A nonlinearly generalized Camassa-Holm equation, depending an arbitrary nonlinearity power , is considered. This equation reduces to the Camassa-Holm equation when and shares one of the Hamiltonian structures of the Camassa-Holm equation. Two main results are obtained. A classification of point symmetries is presented and a peakon solution is derived, for all powers .
Keywords
Cite
@article{arxiv.1609.02473,
title = {A nonlinear generalization of the Camassa-Holm equation with peakon solutions},
author = {Stephen C. Anco and Elena Recio and Maria L. Gandarias and Maria S. Bruzon},
journal= {arXiv preprint arXiv:1609.02473},
year = {2016}
}