简介：TheBacklundtransformation(BT)forafifthorderKdVequationispresentedinthebilinearform.Furthermore,anonlinearsuperpositionformularelatedtotheBTobtainedaboveisprovedrigorously.Bytheway,anonlinearsuperpositionformulaofamodifiedfifthorderKdVequationisalsogiven.

简介：AmathematicalexpressionofFreundlichkineticequation,lnS=A'+B'lnt,ispresented,andthephysicalmeaningsofitsparametersareindicated.AlthoughtheFreundlichkineticequationandthetwo-constantequationarethesameintheform,thederivationoftheFreundlichkineticequationisprecise,whilethederivationofthetwo-constantequationhassomecontradictionsandisunreasonable,AnditissuggestedthattheFreundlichkineticequationshouldhaveprorityoverthetwo-constantequationtobeused.

简介：§1.IntroductionLetEbeanon-zerocomplexBanaohspace,&(JET)theBanaohalgebraofalltheoperatorsfromEintoitself.Operatormeans'boundedlinearoperator'throughout.Anoperatorfunction/fromadomain(openset)Dinthecomplexplaneto@l(T￡}issaidtobeanalytic,ifforanyx^Eandq>￡E*(thedualspaceofE\9>(/(z)aOisanalyticintheclassical’senseinD([1],p.92).Wedenotebyja/B(D)thesetofalltheanalyticoperatorfunctionsfromDinto

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简介：ＭＡＳＳＣＯＮＳＥＲＶＡＴＩＯＮＢＥＨＡＶＩＯＲＯＦＷＡＶＥＥＱＵＡＴＩＯＮＭＯＤＥＬＦＯＲＳＯＬＶＩＮＧＳＨＡＬＬＯＷＷＡＴＥＲＥＱＵＡＴＩＯＮ￥ＷｕＪｉａｎ－ｋａｎｇ（ＨｕａｚｈｏｎｇＵｎｉｖｅｒｓｉｔｙｏｆＳｃｉｅｎｃｅａｎｄＴｅｃｈｎｏｌｏｇ...

简介：在这篇文章，我们为修改Kawahara方程考虑Cauchy问题

简介：介绍在光滑的开的弧上为Helmholtz方程建议了第一个客气的不可分的方程的一个数字答案的研究。照方法使用了；数字例子。

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简介：CONSIDERaverbaldescriptionoftheeffectofgravity:dropaball,anditwillfall.

简介：时空单极方程是在到ℝ2,1的ℝ2,2的anti-self-dualYang工厂方程的减小。这个方程是一个非线性的波浪方程，并且能被编码为宽松的对。相等的宽松的对被奶妈和Terng使用与连续散布数据构造单极，然后方程能被散布数据线性化，允许一个使用散布方法解决有很快腐烂的Cauchy问题的逆小起始的数据。在这篇论文，我们使用holomorphic捆的术语和某些地图的transversality，由起始的数据的parametrized，多达计量转变给更起始的数据，我们能与使用散布方法解决单极方程的Cauchy问题。

简介：有零顺序驱散的Hirota方程的答案的长时间行为被学习。为在H的这个系统的全球弱引起注意的人每[k]被构造。然后由精力方程的准确分析，全球弱引起注意的人实际上是在H的全球强壮的引起注意的人每，这被显示出[k]。

简介：ThispaperdiscussesthesolvabilityofquaternionmatrixequationA^*X^*B^*±BXA=Dandobtainsit'sgeneralexplicitsolutionsintermsofA,B,DandtheirMoore-Penroseinverses.

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简介：Theboundaryintegralequation(BIE)ofdisplacementderivativesisputatadisadvantageforthedifficultyinvolvedintheevaluationofthehypersingularintegrals.Inthispaper,theoperatorsδijandεijareusedtoactonthederivativeBIE.Theboundarydisplacements,tractionsanddisplacementderivativesaretransformedintoasetofnewboundarytensorsasboundaryvariables.AnewBIEformulationtermednaturalboundaryintegralequation(NBIE)isobtained.TheNBIEisappliedtosolvingtwo-dimensionalelasticityproblems.IntheNBIEonlythestronglysingularintegralsarecontained.TheCauchyprincipalvalueintegralsoccurringintheNBIEareevaluated.AcombinationoftheNBIEanddisplacementBIEcanbeusedtodirectlycalculatetheboundarystresses.ThenumericalresultsofseveralexamplesdemonstratetheaccuracyoftheNBIE.

简介：Inthispaper,weinvestigatethetravelingwavesolutionsforthenonlineardispersiveequation,Korteweg-deVriesZakharov–Kuznetsov(KdV-ZK)equationandcomplexcoupledKdVsystembyusingextendedsimplestequationmethod,andthenderivethehyperbolicfunctionsolutionsincludesolitonsolutions,trigonometricfunctionsolutionsincludeperiodicsolutionswithspecialvaluesfordoubleparametersandrationalsolutions.Thepropertiesofsuchsolutionsareshownbyfigures.Theresultsshowthatthismethodisaneffectiveandapowerfultoolforhandlingthesolutionsofnonlinearpartialdifferentialequations(NLEEs)inmathematicalphysics.

简介：这份报纸在通常在实验经济研究被遇到的endogeneity的存在在一个二阶段的最少的广场(2SLS)模型的结构的方程学习可变选择问题。在结构的方程的模型无常和可变选择是在安德鲁斯和陆和Caner(2009)(2001)描述了的一个重要问题。作者与endogeneity为线性结构的方程建议一个适应套索2SLS评估者并且证明它享受神谕性质，即，在评价和模型的一致性选择。在蒙特卡罗模拟，作者证明建议评估者与桥类型GMM评估者相比有更小的偏爱和MSE(Caner，2009)。在案例研究，作者重游经典回来到教育问题(Angrist和Krueger，1991)用中国人口普查数据。作者发现教育铺平不仅在收入上有强壮的效果而且在不同年龄队显示出异质。

简介：Wegiveanoncommutativeextensionofasinh-Gordonequation.WegeneralizealinearsystemandLaxrepresentationofthesinh-Gordonequationinnoncommutativespace.Thisgeneralizationgivesanoncommutativeversionofthesinh-Gordonequationwithextraconstraints,whichcanbeexpressedasglobalconservedcurrents.

简介：Thegeodesicindifferentialgeometryiseornmonlyusedincomputer-aidedfilamentwinding(CAFW)toavoidslippageinmanufacturingprocess.Theuniquenessofthegeodesicbyitsinitialvaluesseverelyrestrictsthechoiceofthefiberpathandisanobstacletotheproductionofoptimizedstructures.Thispaperpresentsanewclassofmoreflexiblenon-sliptrajectoriesonrevolutionalsurfacesasanextensionofthewell-knownClariautequationandgivesitsapplicationinCAFW.

简介：Inthispaper,weconsiderthedeadcoreandsomeasymptoticbehaviorsofsolutionstotheinitialboundaryvalueproblemsoftheequationu_t=△u-λupeu,where>0,0

简介：WediscussseparabilityofsolutionstoaSchr?dingerequationthatdescribesacompositequantumsystemandgivesomekindsofHamiltoniansH(t)suchthatthesolutiontoSchr?dingerequationinducedbyH(t)isseparableatanytimeprovidedthatitisseparableatt=0.Forexample,weprovethatiftheHamiltonianHistime-independentandequalstotheproductPA■PBoftwoprojectionsonthesubsystemsKAandKB,respectively,thenthestate|ψ(t)ofthecompositesystemstartingfromaseparableinitial|ψ(0)=|ψA■|ψBisseparableforallt∈[0,T]ifandonlyifeither|ψAisaneigenstateofPA,or|ψBisaneigenstateofPB.