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简介：ALaplacedecompositionalgorithmisadoptedtoinvestigatenumericalsolutionsofaclassofnonlinearpartialdiferentialequationswithnonlineartermofanyorder,utt+auxx+bu+cup+du2p1=0,whichcontainssomeimportantequationsofmathematicalphysics.Threedistinctinitialconditionsareconstructedandgeneralizednumericalsolutionsaretherebyobtained,includingnumericalhyperbolicfunctionsolutionsanddoublyperiodicones.Illustrativefiguresandcomparisonsbetweenthenumericalandexactsolutionswithdiferentvaluesofpareusedtotesttheefciencyoftheproposedmethod,whichshowsgoodresultsareachieved.

简介：Weexperimentallyinvestigatedthenonlinearopticalresponseinfew-layeroxidizedblackphosphorus(OBP)bythefemtosecondZ-scanmeasurementtechnique,andfoundthatOBPnotonlypossessesstrongultrafastsaturableabsorptionbutalsoanonlinearself-defocusingeffectthatisabsentinblackphosphorus(BP).Thesaturableabsorptionpropertyoriginatesmainlyfromthedirectbandstructure,whichisstillmaintainedinOBP.Theemergenceofself-defocusingmightoriginatefromthecombinedconsequencesoftheoxygen-induceddefectsinBP.Ourexperimentalfindingsmightconstitutethefirstexperimentalevidenceonhowtodynamicallytuneitsnonlinearproperty,offeringaninroadintailoringitsopticalpropertiesthroughchemicalmodification(oxidation,introducingdefects,etc.).Theversatileultrafastnonlinearopticalproperties(saturableabsorptionandself-defocusing)implyasignificantpotentialofthelayeredOBPinthedevelopmentofunprecedentedoptoelectronicdevices,suchasmodelockers,opticalswitches,laserbeamshapers,andwavelengthconverters.

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简介：Wededuceacompletewavepropagationequationthatincludesinhomogeneityofthedielectricconstantandpresentthispropagationequationincompactvectorform.Althoughsimilarequationsareknowninnarrowfieldssuchasradiowavepropagationintheionosphereandelectromagneticandacousticwavepropagationinstratifiedmedia,wedevelophereanovelapproachofusingsuchequationsinthemodelingoflaserbeampropagationinnonlinearmedia.Ourapproachsatisfiesthecorrespondenceprinciplesinceinthelimitofzero-lengthwavelengthitreducesfromphysicaltogeometricaloptics.

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简介：<正>Weintroduceamodifiedsmall-worldnetworkaddingnewlinkswithnonlinearlypreferentialconnectioninsteadofaddingrandomly,thenweapplyBak-Sneppen（BS）evolutionmodelonthisnetwork.Westudyseveralimportantstructuralpropertiesofournetworksuchasthedistributionoflink-degree,themaximumlink-degree,andthegthoftheshortestpath.Wefurtherargueseveraldynamicalcharacteristicsofthemodelsuchastheimportantcriticalvaluefc,thef0avalanche,andthemutatingcondition,andfindthatthosecharacteristicsshowpanticularbehaviors.

简介：Inthisletterthethree-dimensionalnonlinearHelmholtzequationisinvestigated,whichdescribeselectro-magneticwavepropagationinanonlinearKerr-typemediumsuchthatsixteenfamiliesofnewJacobiellipticfunctionsolutionsareobtained,byusingourextendedJacobianellipticfunctionexpansionmethod.Whenthemodulusm→1or0,thecorrespondingsolitarywavesincludingbrightsolitons,darksolitonsandnewlinesolitonsandsinglyperiodicsolutionscanbealsofound.

简介：Twodifferentpulsecleaningtechniquesforultra-highcontrastlasersystemsarecomparablyanalysedinthiswork.Thefirstpulsecleaningtechniqueisbasedonnoncollinearfemtosecondoptical-parametricamplification(NOPA)andsecond-harmonicgeneration(SHG)processes.Theotherisbasedoncross-polarizedwave(XPW)generation.Withadoublechirpedpulseamplifier(double-CPA)scheme,althoughtemporalcontrastenhancementinahigh-intensityfemtosecondTi:sapphirechirpedpulseamplification(CPA)lasersystemcanbeachievedbasedonbothofthetechniques,thetwodifferentpulsecleaningtechniquesstillhavetheirownadvantagesandaresuitablefordifferentcontrastenhancementrequirementsofdifferentlasersystems.

简介：在量interferometry，为高精确的大小的成就控制并且利用非线性的相互作用是重要的。由于他们的长连贯时间和高可控制性，包括Bose的ultracold原子压缩了原子广泛地为量interferometry被使用了。这里，我们与Bose在量interferometry的理论研究考察最近的进步压缩原子。特别地，我们集中于原子原子相互作用导致的非线性的现象，并且怎么控制并且利用这些非线性的现象。与吝啬地的描述，由于原子原子相互作用，事波浪solitons出现在干扰模式，和宏观的量自我套住在Bose-Josephson连接存在。与许多身体描述，原子原子相互作用能产生非古典的纠纷，它能被利用在标准量限制以外完成高精确的大小。

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简介：Theinverserecursionoperator,threenewsetsofsymmetries,andinfinite-dimensionalLiealgebrasforthenonlineardiffusionequationaregiven.SomenonlocalsymmetriesrelatedtoeigenvectorsoftherecursionoperatorФwiththeeigenvalueλiarealsoobtainedwiththehelpoftherecursionoperatorФi=Ф-λi.Usingapartofthesesymmetrieswegettwelvetypesofnontrivialnewsimilarityreduction.

简介：Thebandwidthandthedurationofincidentpulsedbeamareprovedtoplayimportantrolesinmodifyingthenonlinearimageofamplitude-typescatterer.Itisfoundthattheinitiallypositivechirp-typebandwidthcansuppressthenonlinearimage,whilethenegativeonecanenhanceit,andthatbotheffectsareinverselyproportionaltotheincidentpulseduration.Numericalsimulationsfurtherdemonstratethatthelocationofnonlinearimageisattheconjugateplaneofthescattererandthat,fornegativelypre-chirpedpulsedbeam,thenonlinearimagepeakintensitycanbehigherthanthatinthecorrespondingmonochromaticcaseundercertainconditions.Moreovertheeffectofgroupvelocitydispersiononnonlinearimageisfoundtobesimilartothatofchirp-typebandwidth.

简介：在这篇论文，一个新非线性的自治系统由Chlouverakis介绍了；Sprott进一步被学习，到现在很富有；复杂非线性的动态行为。一些基本动态性质是学习任何一个经分解或数字地，印射例如Poincaré，Lyapunov代表；Lyapunov尺寸。基于这流动，新almost-Hamilton有很高的Lyapunov尺寸的混乱系统被构造；调查。二个新非线性的自治系统能被增加或省略一些经常的系数变成对方。

简介：我们由使用量基因算法(QGA)和HartreeFockRoothaan(HFR)的联合计算精力特征值和一个电子量点(QD)的sate功能方法。线性并且为1s-1p，1p-1d，和1d-1f转变的第三顺序的非线性的光吸收系数为stoichiometric比率的三不同的值作为事件光子精力的一个函数被检验。结果证明stoichiometric比率，杂质，松驰时间，和点尺寸在QD的光吸收系数上有大影响。

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简介：Basedonafirstordernonlinearordinarydifferentialequationwithatmostasixth-degreenonlineartermwhichisextendedfromatypeofellipticequation,andbyconvertingitintoanewexpansionform,thispaperproposesanewalgebraicmethodtoconstructexactsolutionsfornonlinearevolutionequations.Beingconciseandstraightforward,themethodisappliedtomodifiedBenjamin-Bona-Mahony(mBBM)model,andsomenewexactsolutionstothesystemareobtained.Thealgorithmisofimportantsignificanceinexploringexactsolutionsforothernonlinearevolutionequations.

简介：Weinvestigatethenonlinearresponseofterahertz(THz)metamaterialperfectabsorbersconsistingofelectricsplitringresonatorsonGaAsintegratedwithapolyimidespacerandgoldgroundplane.Theseperfectabsorbersonbulksemi-insulatingGaAsarecharacterizedusinghigh-fieldTHztime-domainspectroscopy.Theresonancefrequencyredshifts20GHzandtheabsorbanceisreducedby30%astheincidentpeakfieldisincreasedfrom30to300kV/cm.ThenonlinearresponsearisesfromTHzfielddriveninterbandtransitionsandintervalleyscatteringintheGaAs.ToeliminatetheFresnellossesfromtheGaAssubstrate,wedesignandfabricateaflexiblemetamaterialsaturableperfectabsorber.Theabilitytocreatenonlinearabsorbersenablesappealingapplicationssuchasopticallimitingandself-focusing.

简介：Thezero-pointenergyofamesoscopicnonlinearinductance-capacitance(L-C)circuitisobtainedbymakinguseofthevariationmethod.Thisissomewhatlessthanthatofsimpleharmonicoscillator.