Global conservative solutions for a modified periodic coupled Camassa-Holm system

<p style='text-indent:20px;'>In present paper, we deal with the behavior of a solution beyond occurrence wave breaking for modified periodic Coupled Camassa-Holm system. By introducing new set independent and dependent variables, which resolve all singularities due to possible breaking, this evolution system is rewritten as closed semilinear The local existence obtained fixed points contractive transformation. Moreover, formulation allows us continue after gives global conservative where energy conserved almost times. Returning original variables. We finally obtain semigroup solutions, depend continuously on initial data. Additionally, our results repair some gaps in pervious work.</p>