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Two-component higher order Camassa-Holm systems with fractional inertia operator: A geometric approach

Joachim Escher, Tony Lyons
2015 Journal of Geometric Mechanics (JGM)  

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2015 pre-print arXiv:1508.06807v1 fatcat:nzmqnrclfnecpikehpkoatawe4
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.
doi:10.3934/jgm.2015.7.281 fatcat:qxjhxbbrgjbk3cxyclc22qqz4e
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Joachim Escher, Tony Lyons. "Two-component higher order Camassa-Holm systems with fractional inertia operator: A geometric approach." Journal of Geometric Mechanics (JGM) 7.3 (2015) 281-293