We 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.
Published inCommunications in Mathematical Physics
Pages893 - 918
CitationECKHARDT, 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.
VersionAM (Accepted Manuscript)
Publisher statementThis 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/
NotesThis 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/s00220-014-1905-4