简介：ThedynamicalcharacterforaperturbedcouplednonlinearSchrodingersystemwithperiodicboundaryconditionwasstudied.First,thedynamicalcharacterofperturbedandunperturbedsystemsontheinvariantplanewasanalyzedbythespectrumofthelinearoperator.Thentheexistenceofthelocallyinvariantmanifoldswasprovedbythesingularperturbationtheoryandthefixed-pointargument.
简介：ThePainlev'eintegrabilityandexactsolutionstoacouplednonlinearSchr¨odinger(CNLS)equationappliedinatmosphericdynamicsarediscussed.SomeparametricrestrictionsoftheCNLSequationaregiventopassthePainlev'etest.TwentyperiodiccnoidalwavesolutionsareobtainedbyapplyingtherationalexpansionsoffundamentalJacobiellipticfunctions.TheexactsolutionstotheCNLSequationareusedtoexplainthegenerationandpropagationofatmosphericgravitywaves.
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