Abstract:Afterdescribingthebasictheoryofdispersion decreasingfibers,weintroduceseveralapplicationsandresearchp rogressofdispersion decreasingfibersinopticalfibercommunicationsystems,includingopticalpulsegenerationandtrans mission,compressionofhighbitrateultrashortpulse,andsupercontinuumgeneration.Somerecentadvanceintheseapplica t ionsarealsoreported.