A　new　dust　ion-acoustic　wave　structure　called　＇Rogue　wave　triplets＇　is　investigated　in　an　unmagnetized　plasma　consisting　of　stationary　negatively　charged　dust　grains,　charged　positive　and　negative　ions,　and　electrons　obeying　kappa　distribution,　which　is　penetrated　by　an　ion　beam.　The　reductive　perturbation　theory　is　used　to　derive　the　nonlinear　Schrodinger　equation　governing　the　dynamics　as　well　as　the　modulation　of　wave　packets.　The　rogue　wave　triplets　which　are　composed　of　three　separate　Peregrine　breathers　can　be　generated　in　the　modulation　instability　region.　It　has　been　suggested　that　a　laboratory　experiment　be　performed　to　test　the　theory　presented　here.　(C)　2013　Elsevier　B.V.　All　rights　reserved.