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The inverse spectral problem for periodic conservative multi-peakon solutions of the Camassa–Holm equation
journal contribution
posted on 2019-02-01, 11:00 authored by Jonathan EckhardtJonathan Eckhardt, Aleksey KostenkoWe solve the inverse spectral problem associated with periodic conservative multi-peakon solutions of the Camassa–Holm equation. The corresponding isospectral sets can be identified with finite dimensional tori.
Funding
Research supported by the Austrian Science Fund (FWF) under Grants No. P29299 (J.E.) and P28807 (A.K.)
History
School
- Science
Department
- Mathematical Sciences
Published in
International Mathematics Research NoticesVolume
2020Issue
16Pages
5126 - 5151Citation
ECKHARDT, J. and KOSTENKO, A., 2020. The inverse spectral problem for periodic conservative multi-peakon solutions of the Camassa–Holm equation. International Mathematics Research Notices, 2020 (16), pp.5126-5151.Publisher
Oxford University Press © The Author(s)Version
- AM (Accepted Manuscript)
Publisher statement
This work is made available according to the conditions of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) licence. Full details of this licence are available at: https://creativecommons.org/licenses/by-nc-nd/4.0/Publication date
2018-07-25Notes
This is a pre-copyedited, author-produced version of an article accepted for publication in International Mathematics Research Notices following peer review. The version of record ECKHARDT, J. and KOSTENKO, A., 2020. The inverse spectral problem for periodic conservative multi-peakon solutions of the Camassa–Holm equation. International Mathematics Research Notices, 2020 (16), pp.5126-5151 is available online at: https://academic.oup.com/imrn/article/2020/16/5126/5058938 and https://doi.org/10.1093/imrn/rny176.ISSN
1073-7928eISSN
1687-0247Publisher version
Language
- en