Two-component higher order Camassa-Holm systems with fractional inertia operator: a geometric approach
Analysis of PDEs
2015-08-28 v1
Abstract
In the following we study the qualitative properties of solutions to the geodesic flow induced by a higher order two-component Camassa-Holm system. In particular, criteria to ensure the existence of temporally global solutions are presented. Moreover in the metric case, and for inertia operators of order higher than three, the flow is shown to be geodesically complete.
Keywords
Cite
@article{arxiv.1508.06807,
title = {Two-component higher order Camassa-Holm systems with fractional inertia operator: a geometric approach},
author = {Joachim Escher and Tony Lyons},
journal= {arXiv preprint arXiv:1508.06807},
year = {2015}
}
Comments
13 pages