2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/227600We continue our study of the well-posedness theory of a one-parameter family of coupled KdV-type systems in the periodic setting. When the value of a coupling parameter α\in (0, 4) \setminus 1, we show that the Gibbs measure is invariant under the flow and the system is globally well-posed almost surely on the statistical ensemble, provided that certain Diophantine conditions are satisfied.19 pages. To appear in Diff. Integ. EqnsAnalysis of PDEs35Q53text