简介：OwingtotheBenjamin-Feirinstability,theStokeswavetrainexperiencesamodulation-demodulationprocess,andpresentsarecurrencecharacteristics.StiassnieandShemerresearchedtheunstableevolutionprocessandprovidedatheoreticalformulationfortherecurrenceperiodin1985onthebasisofthenonlinearcubicSchrdingerequation(NLS).However,NLShaslimitationsonthenarrowbandandtheweaknonlinearity.Therecurrenceperiodisre-investigatedinthispaperbyusingahighlyefficientHighOrderSpectral(HOS)method,whichcanbeappliedforthedirectphaseresolvedsimulationofthenonlinearwavetrainevolution.ItisfoundthattheStiassnieandShemer’sformulashouldbemodifiedinthecaseswithmostunstableinitialconditions,whichisimportantforsuchtopicsasthegenerationmechanismsoffreakwaves.AnewrecurrenceperiodformulaispresentedandsomenewevolutioncharacteristicsoftheStokeswavetrainarealsodiscussedindetails.