Continuity properties of the data-to-solution map for the two-component higher order Camassa-Holm system

Feng Wang, Fengquan Li

This work studies the Cauchy problem of a two-component higher order Camassa-Holm system, which is well-posed in Sobolev spaces $H^s(\mathbb{R})\times H^{s-2}(\mathbb{R})$, $s>\f…