简介:Inthispaper,anewcompletelyintegrablesystemrelatedtothecomplexspectralproblem—φ_(xx)+(i/4)uφ_x+(i/4)(uφ)_x+(1/4)vφ=iλφ_xandtheconstrainedBowsoftheBoussinesqequationsaregenerated.AccordingtotheviewpointofHamiltonianmechanics,theEuler-LagrangeequationsandtheLegendretransformations,areasonableJacobi-Ostrogradskycoordinatesystemisobtained.Moreover,bymeansoftheconstrainedconditionsbetweenthepotentialu,vandtheeigenfunctionφ,theinvolutiverepresentationsofthesolutionsfortheBoussinesqequationhierarchyaregiven.
简介:Inthispaper,anotionofnegativesidep-mixing(p-mixing)whichcanberegardedasasymptoticnegativeassociationisdefined,andsomeRosenthaltypeinequalitiesforp-mix-ingrandomfieldsareestablished.Thecompleteconvergenceandalmostsuresummabilityontheconvergencerateswithrespecttothestronglawoflargenumbersarealsodiscussedforp--mixingrandomfields.Theresultsobtainedextendthosefornegativelyassociatedsequencesandp'-mixingrandomfields.
简介:Hildebrandclassifiedallsemi-homogeneousconesinR~3andcomputedtheircorrespondingcompletehyperbolicaffinespheres.WecomputeisothermalparametrizationsforHildebrand’snewexamples.Aftergivingtheiraffinemetricsandaffinecubicforms,weconstructthewholeassociatedfamilyforeachofHildebrand’sexamples.ThegenericmemberoftheseaffinespheresisgivenbyWeierstrassP,ζandσfunctions.IngeneralanyregularconvexconeinR~3hasanaturalassociatedS~1-familyofsuchcones,whichdeservesfurtherstudies.
简介:AsubalgebraofloopalgebraA2isestablished.Therefore,anewisospectralproblemisdesigned.BymakinguseofTu''sscheme,anewintegrablesystemisobtained,whichpossessesbi-Hamiltonianstructure.Asitsreductions,aformalismsimilartothewell-knownAblowitz-Kaup-Newell-Segur(AKNS)hierarchyandageneralizedstandardformoftheSchrodingerequationarepresented.Inaddition,inorderforakindofexpandingintegrablesystemtobeobtained,aproperalgebraictransformationissuppliedtochangeloopalgebraA2intoloopalgebraA1.Furthermore,ahigh-dimensionalloopalgebraisconstructed,whichisdifferentfromanypreviousone.Anintegrablecouplingofthesystemobtainedisgiven.Finally,theHamiltonianformofabinarysymmetricconstrainedflowofthesystemobtainedispresented.
简介:Inthispaper,weobtaintheinvarianceprincipleforlinearprocessesgeneratedbyanegativelyassociatedsequence.
简介:LetL=-?+VbeaSchrdingeroperatoractingonL2(Rn),n≥1,whereV≡0isanonnegativelocallyintegrablefunctiononRn.Inthisarticle,wewillintropduceweightedHardyspacesHL(w)associatedwithLbymeansofthesquarefunctionandthenstudytheiratomicdecompositiontheory.WewillalsoshowthattheRiesztransform?L-1/2associatedwithLisboundedfromournewspaceHpL(w)totheclassicalweightedHardyspaceHp(w)whenn/(n+1)
简介:Theaggregationbehaviorandstructureofhydrophobicallymodifiedblockcopolymersofacrylamideand2-phenoxylethylacrylatewereinvestigatedbyviscometry,1HNMRrelaxation,2DNOESY,fluorescenceanddynamiclightscattering.Itwasfoundthattheaggregationbehaviorwasstronglydependentontheconcentrationofpolymersolutionandthehydrophobecontents.Withvaryingconcentrationfrom2.0,6.0,8.0to12.0g/L,thereweredifferentaggregatemorphologiesdistributedinaqueoussolutions,suchasmonopolymerchain,micelle-likeaggregate,multi-micelleaggregateandcross-linkednetwork.Accordingtothemodelofaggregation,itcangiveareasonableexplanationonthelargemagnitudeenhancementofviscositywiththeincreasingofpolymerconcentration.Additionaldataof2DNOESYandfluorescenceshowthatthecopolymerwithhigherhydrophobecontent(molarfraction≥1%)islikelytoformintra-molecularassociation.
简介:Inthecontextoftopcolor-assistedtechnicolor(TC2)model,westudythechargedandneutraltop-pionsproductionprocessγγ→W~+П_t~-П_t~0.Wefindthattheproductioncrosssectionislargerthanthatoftheprocessγγ→W~+H~-Hintheminimalsupersymmetricstandardmodel.WithreasonablevaluesoftheparametersintheTC2model,thecrosssectioncanreachthelevelofafewfb.Furthermore,theflavor-changing(FC)decaymodeП_t~0→tcisthebestchanneltodetecttheneutraltop-pionduetothecleanSMbackground.Withalargenumberofeventsandthecleanbackground,theneutraltop-pionshouldbeobservableatfuturelinearcollidersoperatinginγγmodeattheTeVenergyscale.
简介:FREDHOLMDETERMINANTSOLUTIONFORNONLINEAREQUATIONSASSOCIATEDWITHISOSPECTRALSCHRODINGEREICENVALUEPROBLEMHuangLiede(黄烈德);XiaZhong...
简介:AttheCERNlargehadroncollider(LHC),productionoftheHiggsbosoninassociationwithZorWbosonsprovidesadramaticexperimentalsignalfordetectingthestandardmodel(SM)Higgsboson.Inthispaper,weconsiderthecontributionsoftheleft-righttwinHiggs(LRTH)modeltotheprocessesq()’→Z(W)H.Ournumericalresultsshowthat,inthefavorableparameterspaces,thecrosssectionsdeviatedistinctlyfromthepredictionsoftheSM.ThepossiblesignalsoftheLRTHmodelcanbedetectedviatheseprocessesattheLHCexperiments.