简介:Usingthetechniqueofintegralwithinanorderedproduct(IWOP)ofoperatorsweshowthatthewavelettransformcanberecastedtoamatrixelementofsqueezing-displacingoperatorbetweenthemotherwaveletstatevectorandthestatevectortobetransformedinthecontextofquantummechanics.Inthiswaymanyquantumopticalstates'wavelettransformcanbeeasilyderived.
简介:Ellipticequationistakenasanansatzandappliedtosolvenonlinearwaveequationsdirectly.Morekindsofsolutionsaredirectlyobtained,suchasrationalsolutions,solitarywavesolutions,periodicwavesolutionsandsoon.Itisshownthatthismethodismorepowerfulingivingmorekindsofsolutions,soitcanbetakenasageneralizedmethod.
简介:Ageneralmappingdeformationmethodispresentedandappliedtoa(2+1)-dimensionalBoussinesqsystem.Manynewtypesofexplicitandexacttravellingwavesolutions,whichcontainsolitarywavesolutions,periodicwavesolutions,JacobianandWeierstrassdoublyperiodicwavesolutions,andotherexactexcitationslikepolynomialsolutions,exponentialsolutions,andrationalsolutions,etc.,areobtainedbyasimplealgebraictransformationrelationbetweenthe(2+1)-dimensionalBoussinesqequationandageneralizedcubicnonlinearKlein-Gordonequation.
简介:Thegeneralizedone-dimensionalFokker-Planckequationisanalyzedviapotentialsymmetrymethodandtheinvariantsolutionsunderpotentialsymmetriesareobtained.Amongthosesolutions,somearenewandfirstreported.
简介:Startingfromthevariableseparationsolutionobtainedbyusingtheextendedhomogenousbalancemethod,anewclassofcombinedstructures,suchasmulti-peakonandmulti-dromionsolution,multi-compactonandmultidromionsolution,multi-peakonandmulti-compactonsolution,forthe(2+1)-dimensionalNizhnik-Novikov-Veselovequationarefoundbyselectingappropriatefunctions.Thesenewstructuresexhibitnovelinteractionfeatures.Theirinteractionbehaviorisverysimilartothecompletelynonelasticcollisionsbetweentwoclassicalparticles.
简介:Theasymptoticdistributionsareexactlysolvedforlinearlyindependentsolutionsconsideringproblemofthesecondorderandforthecoefficientsofasymptoticdistributiontherecurrentformulasareobtained.Further,usingobtainedrecurrentformulasthenecessaryandsufficientconditionsforalmostregularityofspectralproblemfortheequationofthesecondorderisproved.
简介:Inthispaper,theclassicalLiegroupapproachisextendedtofindsomeLiepointsymmetriesofdifferentialdifferenceequations.ItrevealsthattheobtainedLiepointsymmetriescanconstituteaKac-Moody-Virasoroalgebra.
简介:Wepresenttheextendedhydrogenatomandmonopole-hydrogenatomtheorythroughgeneralizingtheusualhydrogenatommodelandwithamonopolemodelrespectively,inwhichY(sl(2))algebrasarerealized.WederivetheHamiltoniansofthetwomodelsbasedontheY(sl(2))andthegeneralizedPauliequation.TheenergyspectraofthesystemsarealsogivenintermsofYangianalgebraandquantummechanics.
简介:COMMUNICATIONSINTHEORETICALPHYSICSispublishedmonthlybytheChinesePhysicalSocietythroughtheInsti-tuteofTheoreticalPhysics,theChineseAcademyofSci-ences.Articlesinthisjournalareabstracted/indexedinSci-enceCitationIndex(SCI),ScienceCitationIndexExpanded(alsoknownasSciSearch),ISIAlertingServices,andCurrentContents/Physical,ChemicalandEarthSciences;ScienceAb-stracts(SA),ChemicalAbstracts(CA),MathematicalReview(MR),andP:H~,etc.Contributionsallovertheworldaremostwelcome.
简介:Aconstructivetheoremisestablishedforgeneralizedsynchronization(GS)relatedtoC1diffeomorphictransformationsofunidirectionallycoupleddynamicalarrays.ThetheoremprovidessomeinterpretationsabouttheunderlyingmechanismofvariousGSphenomenainnature.Asadirectapplicationofthetheorem,achaos-basedsecureInternetcommunicationschemeisproposed.Moreover,acellularneuralnetwork(CNN)ofChen'schaoticcircuitswithGSpropertyisdesignedandstudied.NumericalsimulationshowsthatthisChen'sCNNhashighsecurityandisfastandreliableforsecureInternetcommunications.