A Lagrangian view on complete integrability of the two-component Camassa-Holm system
Exactly Solvable and Integrable Systems
2017-11-16 v1 Analysis of PDEs
Abstract
We show how the change from Eulerian to Lagrangian coordinates for the two-component Camassa-Holm system can be understood in terms of certain reparametrizations of the underlying isospectral problem. The respective coordinates correspond to different normalizations of an associated first order system. In particular, we will see that the two-component Camassa-Holm system in Lagrangian variables is completely integrable as well.
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Cite
@article{arxiv.1605.05865,
title = {A Lagrangian view on complete integrability of the two-component Camassa-Holm system},
author = {Jonathan Eckhardt and Katrin Grunert},
journal= {arXiv preprint arXiv:1605.05865},
year = {2017}
}
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12 pages