An isospectral problem for global conservative multi-peakon solutions of the Camassa-Holm equation
Spectral Theory
2014-06-17 v1 Mathematical Physics
math.MP
Exactly Solvable and Integrable Systems
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.
Keywords
Cite
@article{arxiv.1406.3702,
title = {An isospectral problem for global conservative multi-peakon solutions of the Camassa-Holm equation},
author = {Jonathan Eckhardt and Aleksey Kostenko},
journal= {arXiv preprint arXiv:1406.3702},
year = {2014}
}
Comments
25 pages