A Lagrangian view on complete integrability of the two-component Camassa-Holm system
arXiv:1605.05865 · doi:10.1093/integr/xyx002
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.
12 pages
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- Trace formulas and continuous dependence of spectra for the periodic conservative Camassa-Holm flow
- The inverse spectral problem for periodic conservative multi-peakon solutions of the Camassa-Holm equation
- On the absolutely continuous spectrum of generalized indefinite strings
- On the absolutely continuous spectrum of generalized indefinite strings II
- Geometric aspects of two- and threepeakons
- Liouville correspondences between multi-component integrable hierarchies