The inverse spectral problem for periodic conservative multi-peakon solutions of the Camassa-Holm equation
Jonathan Eckhardt, Aleksey Kostenko
TL;DR
This paper addresses the inverse spectral problem for periodic multi-peakon solutions of the Camassa-Holm equation, establishing a correspondence with finite-dimensional tori and advancing understanding of their spectral properties.
Contribution
It provides a solution to the inverse spectral problem for these solutions, linking isospectral sets to finite-dimensional tori, which is a novel theoretical development.
Findings
Inverse spectral problem solved for periodic multi-peakon solutions
Isospectral sets identified with finite-dimensional tori
Advances spectral analysis of the Camassa-Holm equation
Abstract
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.
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