# Dynamics of conservative peakons in a system of Popowicz

Barnes, Lucy, Hone, Andrew N.W. (2019) Dynamics of conservative peakons in a system of Popowicz. Physics Letters A, 383 (5). pp. 406-413. ISSN 0375-9601. (doi:10.1016/j.physleta.2018.11.015)

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https://doi.org/10.1016/j.physleta.2018.11.015

## Abstract

We consider a two-component Hamiltonian system of partial

Popowicz, which has the form of a coupling between the Camassa-Holm and Degasperis-Procesi equations.

system itself is not integrable. Nevertheless, as one of the authors showed with Irle, it admits

peakons being determined by a Hamiltonian system on a phase space of dimension $3N$.

integrable. We present the explicit solution for the two-peakon dynamics, and describe

some of the novel features of the interaction of peakons in the Popowicz system.

Item Type: Article 10.1016/j.physleta.2018.11.015 Peakons; Popowicz system; Distributions; Hamiltonian dynamics Q Science > QA Mathematics (inc Computing science) Faculties > Sciences > School of Mathematics Statistics and Actuarial Science Andrew N W Hone 20 Nov 2018 10:53 UTC 15 Nov 2019 00:00 UTC https://kar.kent.ac.uk/id/eprint/70202 (The current URI for this page, for reference purposes) https://orcid.org/0000-0001-9780-7369
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