Well-posedness and persistence properties for two-component higher order Camassa-Holm systems with fractional inertia operator

Rong Chen, Shouming Zhou

In this paper, we study the Cauchy problem for a two-component higher order Camassa-Holm systems with fractional inertia operator $A=(1-{\partial }_x^2{)}^r,r\ge 1$, which was proposed…