The inverse spectral problem for periodic conservative multi-peakon solutions of the Camassa–Holm equation

Eckhardt, Jonathan; Kostenko, Aleksey

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 Kostenko

We 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 Notices

Volume

2020

Issue

16

Pages

5126 - 5151

Citation

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

2018-07-25

Notes

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.