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arXiv · 1609.02473

A nonlinear generalization of the Camassa-Holm equation with peakon solutions

Stephen C. Anco·Elena Recio·Maria L. Gandarias·Maria S. Bruzon
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Abstract

A nonlinearly generalized Camassa-Holm equation, depending an arbitrary nonlinearity power $p \neq 0$, is considered. This equation reduces to the Camassa-Holm equation when $p=1$ 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 $p \neq 0$.

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Stephen C. Anco, Elena Recio, Maria L. Gandarias, Maria S. Bruzon. 2016-09-08. A nonlinear generalization of the Camassa-Holm equation with peakon solutions. https://arxiv.org/abs/1609.02473

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