An isospectral problem for global conservative multi-peakon solutions of the Camassa-Holm equation

Abstract

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.

arXiv comment25 pages

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