In　this　paper,　the　dispersion　properties　of　elastic　waves　in　the　layered　piezoelectric/piezomagnetic　(PPC)　hollow　cylinder　are　investigated.　The　axisymmetric　formulation　is　based　on　the　Scaled　Boundary　Finite　Element　method.　High-order　elements　are　utilized　for　the　discretization.　We　develop　the　mode　sorting　method　to　distinguish　modes　based　on　the　reciprocity　relation　of　the　magneto-electro-elastic　media.　The　dispersion　relationship　and　wave　structures　of　various　layered　PPC　hollow　cylinders　are　presented.　Besides,　we　discuss　impacts　of　the　stacking　sequence　and　radius-thickness　ratio　on　the　dispersive　behavior　and　discover　the　frequency　deletion　of　longitudinal　modes.　(C)　2015　Elsevier　Ltd.　All　rights　reserved.