Loughborough University
Browse
xyx002.pdf (191.14 kB)

A Lagrangian view on complete integrability of the two-component Camassa–Holm system

Download (191.14 kB)
journal contribution
posted on 2018-10-19, 12:41 authored by Jonathan EckhardtJonathan Eckhardt, Katrin Grunert
We show how the change from Eulerian to Lagrangian coordinates for the two-component Camassa–Holm system can be understood in terms of certain reparametrizations of the underlying isospectral problem. The respective coordinates correspond to different normalizations of an associated first order system. In particular, we will see that the two-component Camassa–Holm system in Lagrangian variables is completely integrable as well.

Funding

Austrian Science Fund (FWF) under Grant No. J3455; and the Research Council of Norway under the grant Waves and Nonlinear Phenomena (WaNP).

History

School

  • Science

Department

  • Mathematical Sciences

Published in

Journal of Integrable Systems

Volume

2

Issue

1

Citation

ECKHARDT, J. and GRUNERT, K., 2017. A Lagrangian view on complete integrability of the two-component Camassa–Holm system. Journal of Integrable Systems, 2 (1), 14 pp.

Publisher

Oxford University Press © The Authors

Version

  • VoR (Version of Record)

Publisher statement

This work is made available according to the conditions of the Creative Commons Attribution-NonCommercial 4.0 International (CC BY-NC 4.0) licence. Full details of this licence are available at: http://creativecommons.org/licenses/by-nc/4.0/

Acceptance date

2017-02-15

Publication date

2017

Notes

This is an Open Access article distributed under the terms of the Creative Commons Attribution Non-Commercial License (http://creativecommons.org/licenses/by-nc/4.0/), which permits non-commercial re-use, distribution, and reproduction in any medium, provided the original work is properly cited. For commercial re-use, please contactjournals.permissions@oup.com.

eISSN

2058-5985

Language

  • en

Usage metrics

    Loughborough Publications

    Exports

    RefWorks
    BibTeX
    Ref. manager
    Endnote
    DataCite
    NLM
    DC