简介:主要考虑1+1维Boussinesq系统的一个Darboux变换,反复利用该Darboux变换,可以从该系统的一个已知解出发,通过代数运算和求导运算得到系统的新解.
简介:Aseriesofnovel1H-benzimidazol-1-ylacetatesand1H-benzimidazol-1-ylpropionatescontaining1H-1,2,4-triazolemoietyweresynthesizedundermicrowaveirradiationbymulti-stepreactions,inyieldsof87-94%.TheirinvitroantifungalactivitiesagainstBotrytiscinereaandSclerotiniasclerotiorumwereevaluatedbymycelialgrowthratemethod.AllthetargetcompoundsexhibithighactivitiesagainstB.cinereawiththeEC50valuesof7.96-21.74μg/mL,higherthanthatofcarbendazim.
简介:WeuseamodifiedBecke-JohnsonexchangeplusalocaldensityapproximationcorrelationpotentialwithinthedensityfunctionaltheorytoinvestigatetheelectronicstructuresofHg1-xCdxTeandIn1-xGaxAswithxbeing0,0.25,0.5,0.75,and1.Forbothofthetwoseries,ourcalculatedenergygapsanddielectricfunctions(realpartε1andimaginarypartε2)areinagreementwiththecorrespondingexperimentalresultswithxbeingbetween0and1.Thecalculatedzero-frequencyrefractiveindexvariesgreatlywithxforHg1-xCdxTe,butchangeslittlewithxforIn1-xGaxAs,whichisconsistentwiththerealpartsoftheirdielectricfunctions.Therefore,thisnewapproachissatisfactorytodescribetheelectronicstructuresandtheopticalpropertiesofthesemiconductors.
简介:这份报纸为1-D板方程wtt+wxxxx+q处理锋利的observability不平等的问题(t,x)0边界与二打的w=调节w=wxx=0或w=wx=0,并且q(t,x)是一个合适的潜力。锋利的observability常数具有的作者表演订$\exp\left({C\left\|q\right\|_\infty^{\tfrac{2}{7}}}\right)$\exp\left({C\left\|q\right\|_\infty^{\tfrac{2}{7}}}\right)为q1。导出需要的observability不平等的主要工具是全球Carleman不平等,基于一个新点为第四个顺序板操作员的明智的不平等。
简介:Inthispaperwewillshowthatifanapproximationprocess{Ln}n∈Nisshapepreservingrelativetotheconeofallk-timesdifferentiablefunctionswithnon-negativek-thderivativeon[0,1],andtheoperatorsLnareassumedtobeoffiniterankn,thentheorderofconvergenceofDkLnftoDkfcannotbebetterthann2evenforthefunctionsxk,xk+1,xk+2onanysubsetof[0,1]withpositivemeasure.Takingintoaccountthisfact,wewillbeabletofindsomeasymptoticestimatesoflinearrelativen-widthofsetsofdifferentiablefunctionsinthespaceLp[0,1],p∈N.
简介:在Tikhonov正则化方法的基础上将其转化为一类l1极小化问题进行求解,并基于Bregman迭代正则化构建了Bregman迭代算法,实现了l1极小化问题的快速求解.数值实验结果表明,Bregman迭代算法在快速求解算子方程的同时,有着比最小二乘法和Tikhonov正则化方法更高的求解精度.
简介:BasedontheGrammianandPfaffianderivativeformulae,GrammianandPfaffiansolutionsareobtainedfora(3+1)-dimensionalgeneralizedshallowwaterequationintheHirotabilinearform.Moreover,aPfaffianextensionismadefortheequationbymeansofthePfaffianizationprocedure,theWronski-typeandGramm-typePfaffiansolutionsoftheresultingcoupledsystemarepresented.
简介:在现在的纸,包含三个任意的函数为的一个一般解决方案概括(2+1)维的KdV-mKdV方程,它被导出从概括(1+1)维的KdV-mKdV方程,首先借助于Wiess被介绍,小鼓,Carnevale(WTC)截断方法。然后有考虑的几条能量守恒定律的multisymplectic明确的表达被介绍为概括(2+1)维的KdV-mKdV方程基于桥的multisymplectic理论。随后,源于以便以Jacobi椭圆形的功能的合理功能模仿周期的波浪答案一般答案,一个半含蓄的multi-symplectic计划被构造那等价于Preissmann计划。从数字实验的结果,我们能断定multi-symplectic计划能精确地模仿周期的波浪答案概括(2+1)维的KdV-mKdV方程当时近似保存能量守恒定律。
简介:1IntroductionFullerenehasreceivedconsiderableattentionandagreatresearchinginterestduetoitsuniquestructureandinterestingproperties[1-3].Manyfunctionalgroupshavebeenintroduced,oftenregion-orstereo-selectively,fortuningthephysicalpropertiesofC60andforconstructingsupramoleculararchitectures[4-6].AmongallkindsofC60derivatives,thediseoticmolecule-substitutedC60derivativesshowinterestingproperties,especially,liquidcrystalproperties.Uptonow,fewC60derivativeswithdiscotic-moleculargroupsandtheirliquidcrystalpropertieshavebeenstudied.In1996,Deschenauxetal.[7]reportedthefirstmesomorphicC60-ferrocenederivative.Tianetal.[8]synthesizedaC60-perylenederivativein2004.Nakanishietal.[9]preparedaseriesofuncommonliquidC60derivativeswith2,4,6-tris(alkyloxy)benzalgroupsin2006.Lately,Geertsetal.[10]describedthesynthesisofmesogenicphthalocyanine-C60.
简介:Anon-linearoptical(NLO)materialwassynthesizedbymeansofasimplemethod.Thismaterialcanbeappliedinelectro-optical(EO)devices,suchasEOswitchesandmodulators.TheDisperseRed1(DR1)wasdopedinpolymethyl-methacrylate-co-glycidylmethacrylate(PMMA-co-GMA)astheNLOactivechromophore.Thesynthesisprocessandmaterialstructurewereexpressed.Thethermalproperties,surfacemorphologyandopticalcharacteristicsofthematerialwereinvestigatedbymeansofdifferentialscanningcalorimetry(DSC),thermogravimetricanalysis(TGA),atomicforcemicroscopy(AFM),andm-linestechnique.Usingthereflectiontechnique,thevalueoftheelectro-opticalcoefficientγ33wasmeasuredas11pm/Vatawavelengthof1310nm.AnEOswitchwithnanosecondresponsebasedonthismaterialhasbeenfabricated.
简介:Asupramolecular1Dferromagneticsystemwasstudiedexperimentallyaswellastheoretically.Hybriddensityfunctionaltheory(DFT)calculationswerebasedontheX-rayanalysis.TheresultsofDFTcalculationsandMcConnellmechanismhavecontributedtotheunderstandingofthefactorsgoverningtheexchangecouplingofmagnetisminthecrystalpacking.Boththeexperimentalevidenceandtheoreticalcalculationindicatethatspindensityin2-iodonitronylnitroxide(INN)radicalsconfirms1Dferromagneticchainwithinter-chainantiferromagneticinteraction.