WeobtainsolitonandplanewavesolutionsforthecouplednonlinearSchr?dingerequations,whichdescribethedynamicsofthethree-componentBose-EinsteincondensatesbyusingtheHirotamethod.Meanwhilewefindthatthesystemwhichhasattractiveatomicinteractionwillonlypossessashapechanging(inelastic)collisionpropertyduetointensityredistributionintheabsenceofthespin-exchangeinteraction.Asadiscussedexample,weinvestigatetheone-soliton,two-solitonsolutionsandcollisionaleffectsbetweenbrighttwo-soliotnsolution,whichleadtotheintensityredistribution.
