Toggle Main Menu Toggle Search

Open Access padlockePrints

The Newcastle University research output collection, currently available on ePrints, will shortly be moving to a new open repository platform, Figshare. To prepare for the data migration we have paused adding new content to ePrints, and will resume once the new repository is launched. During this time you will continue to have access to ePrints (but no new content will appear). We will share updates here when available.

Wave dynamics for peaked solitons of the Camassa-Holm equation

Lookup NU author(s): Dr Allen Parker

Downloads

Full text for this publication is not currently held within this repository. Alternative links are provided below where available.

Abstract

A detailed investigation of the wave dynamics for multiply peaked solitons of the Camassa-Holm equation is presented. The analysis proceeds in terms of the underlying component "peakons" using entirely elementary methods. The two-wave interactions exhibit intricate and subtle features such as role reversal, soliton absorption and annihilation, wave steepening and monodirectional propagation (for finite time) and a critical (amplitude) ratio. The discussion covers the entirety of these waveforms comprising two-peakon, peakon-antipeakon and two-antipeakon solutions. Their properties transfer to multipeakon dynamics and examples of three-wave interactions are given. © 2007 Elsevier Ltd. All rights reserved.

Publication metadata

Author(s): Parker A

Publication type: Article

Publication status: Published

Journal: Chaos, Solitons and Fractals

Year: 2008

Volume: 35

Issue: 2

Pages: 220-237

ISSN (print): 0960-0779

ISSN (electronic): 1873-2887

Publisher: Pergamon

URL: http://dx.doi.org/10.1016/j.chaos.2007.07.049

DOI: 10.1016/j.chaos.2007.07.049

Altmetrics

Altmetrics provided by Altmetric

Share