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简介:Inthispaper,basedontheequationspresentedin[2],thehead-oncollisionbetweentwosolitarywavesdescribedbythemodifiedKdVequation(themKdVequation,forshort)isinvestigatedbyusingthereductiveperturbationmethodcombinedwiththePLKmethod.Thesewavespropagateattheinterfaceofatwo-fluidsystem,inwhichthedensityratioofthetwofluidsequalsthesquareofthedepthratioofthefluids.Thesecondorderperturbationsolutionisobtained.Itisfoundthatinthecaseofdisregardingthenonuniformphaseshift,thesolitarywavespreservetheiroriginalprofilesaftercollision,whichagreeswithFornbergandWhitham’snumericalresultofovertakingcollision161whereasafterconsideringthenonuniformphaseshift,thewaveprofilesmaydeformaftercollision.
简介:Basedonthecouplingoftwodistantthree-levelatomsintwoseparateopticalcavitiesconnectedwithtwoopticalfibres,schemesonthegenerationofseveraltwo-qubitlogicgatesarediscussedundertheconditionsof△=δ-2νcosπk/2g/2andν~g.Discussionandanalysisofthefidelity,gatetimeandexperimentalsetupsshowthatourschemesarefeasiblewithcurrentopticalcavity,atomictrapandopticalfibretechniques.Moreover,theatom-cavity-fibrecouplingcanbeusedtogenerateanN-qubitnonlocalentanglementandtransferquantuminformationamongNdistantatomsbyarrangingNatom-cavityassemblagesinalineandconnectingeachtwoadjacentcavitieswithtwoopticalfibres.
简介:Underinspirationfromthestructure-preservingpropertyofsymplecticdifferenceschemesforHamiltoniansystems,twohomogenizationconditionsforarepresentativeunitcelloftheperiodicalcompositesareproposed,oneconditionistheequivalenceofstrainenergy,andtheotheristhedeformationsimilarity.Basedonthesetwohomogenizationconditions,aneigenelementmethodispresented,whichischaracteristicofstructure-preservingproperty.Itfollowsfromthefrequencycomparisonsthattheeigenelementmethodismoreaccuratethanthestiffnessaveragemethodandthecomplianceaveragemethod.
简介:Thispaperpresentsanewboundaryintegralequatiònfortwo-dimensionalelasticitywiththestresscomponentσijtitjasoneoftheboundaryvalues,wheretiisthedirectioncosineofthetangentontheboundary.ThisformofBEMhasanadvantageinthatthestresscomponentσijtitjontheboundarycanbecalculateddirectlyfromthenumericalsolution.Thepresentformulationforplaneproblemsusestwokernels,theoneislogarithmicallysingularandtheotheris1/rsingular.Theeffectivenessoftheapproachisalsodiscussedthroughtestexamples.
简介:Thebehavioroftwocollinearanti-planeshearcracksinapiezoelectriclayerbondedtotwohalfspacesisinvestigatedbytheSchmidtmethod.Thecracksareverticallytotheimerfacesofthepiezoelectriclayer.ByusingtheFouriertransform,theproblemcanbesolvedwithtwopairsoftripleintegralequations.TheseequationsaresolvedusingtheSchmidtmethod.Thisprocessisquitedifferentfromthatadoptedpreviously.Numericalexamplesareprovidedtoshowtheeffectofthegeometryoftheinteractingcracksandthepiezoelectricconstantsofthematerialuponthestressintensityfactorofthecracks.
简介:Theanalysisoftheradiatednoiseofvesselsgiveninthispapershowssomestrongsuperposedlinecomponentsinlowfrequencyspeetrumbelow100Hzoccurringatdiscretefrequencieswhichcorrespondwiththerotationspeedofpropellershaft,orpropellerbladefrequency,ortheirharmonicfre-quencies.sincethelinecomponentsreflectpropeller'workingcharacteristics,thepropller'sfeaturescanbeextracteddirectlyfromlow-frequencylinecom-ponentsinadditiontodemodulatedlinecomponent.Sotherearetwowaystoextractthefeatures,oneisdirectway,theotherisdemodulationway.Detec-tionperformanceofthelinecomponentinbackground-noiseisdiscussedinthispaper.ThesignallevelisdefinedasthedifrerencebetweenthePDF's(ProbabilityDensityFunction)meanofthepeakofthelinecomponentandPDF'smeanorthebackground-noise.Indircetwaythesignallevelofthelinecomponentisproportionaltothesignalnoiseratio(S/N).Indemodulationwaythesignallevelofdemodulatedlinecomponent
简介:AsetDofverticesofagraphG=(V,E)iscalledadominatingsetifeveryvertexofVnotinDisadjacenttoavertexofD.In1996,Reedprovedthateverygraphofordernwithminimumdegreeatleast3hasadominatingsetofcardinalityatmost3n/8.InthispaperwegeneralizeReed'sresult.WeshowthateverygraphGofordernwithminimumdegreeatleast2hasadominatingsetofcardinalityatmost(3n+|V_2|)/8,whereV_2denotesthesetofverticesofdegree2inG.Asanapplicationoftheaboveresult,weshowthatfork>1,thek-restricteddominationnumberr_k(G,y)<(3n+5k)/8forallgraphsofordernwithminimumdegreeatleast3.
简介:ThevalidityofNavier'spartialslipconditionisinvestigatedbystudyingtheoscillatoryflowinacoatedchannel.Thetwo-fluidmodelisusedtosolvetheunsteadyviscousequationsexactly.Partialslipisexperiencedbythecorefluid.ItisfoundthatNaviersconditiondoesnotholdforanunsteadycorefluid.
简介:ThispaperconstructsaclassofHarish-Chandramoduleswithmultiplicity<-1ofthetwoparameterdeformationofVirasoroalgebraandprovesaclassificationtheorem.
简介:为第二使用订Dini上面的方向性的衍生物的LC非强迫的优化问题介绍二个算法。方法的简洁使用并且表现;重复功能的相关性质的讨论。