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) (KAR id:70202)
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| Official URL https://doi.org/10.1016/j.physleta.2018.11.015 |
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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 |
|---|---|
| DOI/Identification number: | 10.1016/j.physleta.2018.11.015 |
| Uncontrolled keywords: | Peakons; Popowicz system; Distributions; Hamiltonian dynamics |
| Subjects: | Q Science > QA Mathematics (inc Computing science) |
| Divisions: | Faculties > Sciences > School of Mathematics Statistics and Actuarial Science |
| Depositing User: | Andrew Hone |
| Date Deposited: | 20 Nov 2018 10:53 UTC |
| Last Modified: | 15 Nov 2019 00:00 UTC |
| Resource URI: | https://kar.kent.ac.uk/id/eprint/70202 (The current URI for this page, for reference purposes) |
| Hone, Andrew N.W.: |  https://orcid.org/0000-0001-9780-7369 |
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