A Lagrangian view on complete integrability of the two-component Camassa–Holm system
journal contribution
posted on 2018-10-19, 12:41 authored by Jonathan EckhardtJonathan Eckhardt, Katrin GrunertWe 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 SystemsVolume
2Issue
1Citation
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 AuthorsVersion
- 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
2017-02-15Publication date
2017Notes
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
2058-5985Publisher version
Language
- en
