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An isospectral problem for global conservative multi-peakon solutions of the Camassa–Holm equation
journal contribution
posted on 2018-10-04, 10:54 authored by Jonathan EckhardtJonathan Eckhardt, Aleksey KostenkoWe introduce a generalized isospectral problem for global conservative multi-peakon solutions of the Camassa–Holm equation. Utilizing the solution of the indefinite moment problem given by M. G. Krein and H. Langer, we show that the conservative Camassa–Holm equation is integrable by the
inverse spectral transform in the multi-peakon case.
History
School
- Science
Department
- Mathematical Sciences
Published in
Communications in Mathematical PhysicsVolume
329Issue
3Pages
893 - 918Citation
ECKHARDT, J. and KOSTENKO, A., 2014. An isospectral problem for global conservative multi-peakon solutions of the Camassa–Holm equation. Communications in Mathematical Physics, 329(3), pp. 893-918.Publisher
© SpringerVersion
- 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/Acceptance date
2013-05-07Publication date
2014-02-22Notes
This is a post-peer-review, pre-copyedit version of an article published in Communications in Mathematical Physics. The final authenticated version is available online at: https://doi.org/10.1007/s00220-014-1905-4ISSN
0010-3616eISSN
1432-0916Publisher version
Language
- en
