简介：Solitarywavesinrelativisticelectromagneticplasmasareobtainednumerically.Thelongitudinalmomentumofelectronshasbeentakenintoaccountintheproblem.Itisfoundthatinthemovingframewithelectromagneticfieldpropagatingthesolitarywavescanexistinbothcases,wherethevectorpotentialfrequencyislargerorsmallerthantheplasmacharacteristicfrequency.

简介：Asystematicprocedureisproposedforobtainingsolutionsforsoli-tarywavesinstratifiedfluids.Thestratificationofthefluidisassumedtobeexpo-nentialorlinear.Itscomparisonwithexistingresultsforanexponentiallystratifiedfluidshowsagreement,anditisfoundthatfortheoddseriesofsolutionsthedirec-tionofdisplacementofthestreamlinesfromtheirasymptoticlevelsisreversedwhenthestratificationischangedfromexponentialtolinear.Finallytheinteractionofsolitarywavesisconsidered,andtheKorteweg-deVriesequationandtheBoussinesqequationarederived.Thustheknownsolutionsoftheseequationscanberehedupontoprovidetheanswerstotheinteractionproblem.

简介：Inthispaper,weinvestigateaclassofHamiltoniansystemsarisinginnonlinearcompositemedia.Bydetailedanalysisandcomputationweobtainadecayingestimatesonthesemigroupandprovetheorbitalinstabilityoftwofamiliesofexplicitsolitarywavesolutions(slowfamilyinanisotropiccaseandsolitarywavesinisotropiccase),whichtheoreticallyverifytherelatedguessandnumericalresults.

简介：一、INTRODUCTION选文简介《争夺抚养权》选自美国作家辛西娅·沃伊特（CynthiaVoigt）的小说《孤独之蓝》（ASolitaryBlue）。

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简介：TheKdVequationwithtopographyincludedinanN-levelmodelisderived.Itisshownthatifthetopographyex-ists.theKdVequationmaydescribethesolitaryRossbywavesinthecaseofbasiccurrentwithoutverticalshear,anditisnonecessarytointroducetheMKdVequation.Theresultsofcalculationsshowthatthechangeofhorizontalshearpatternofbasicflowmaycauseanimportantchangeofthestreamlinepatternofthesolitarywaveswiththeoddmeridionalwavenumberm,andhasnoeffectfortheevenmeridionalwavenumberm.Theverticalshearincreasesthesteepnessofthebarotropicsolitarymodes,andithasacomplicatedeffectonthebaroclinicmodes.Theinfluencesoftopographicslopeonthesolitarywavesareverygreat.Thesouthernandnorthernslopesoftopographymaycausedif-ferentsolitarywavepatterns,withtheeffectofnorthernslopegreater.TheeffectofFroudenumberonthesolitarywavesisgenerallytosteepenthesolitarywaves,however,theeffectalsodependsonthemeridionalwavenumbermandthemodesofsolitarywave.

简介：ThelevelicethicknessandcompressivestrengthatthefourmeasuringstationsintheLiaodongBayareinferredaccordingtothehydrologicandmeteorologicdatathere,thentheyearlyextremeiceforcesonasolitarypilearecalculatedbytheuseofappropriateformulaoficeforcesanditsprobabilisticdistributionisdetermined.Generally,theyearlyextremeiceforcefollowsWeibulldistributionbestascomparedwithNormal,Lognormal,andExtremeValueIdistribution.Ontheotherhand,theshort-termdistributionoficeforcesonasolitarypileisobtainedfromthemodelexperimentdataanalysis:ItdoesnotrefuseExtremeValueIdistribution.

简介：Throughamappingrelationbetweenthetriplesine-GordonandФ5model,wediscusstheequationindetail.Aseriesofsolitarywavesolutionsforthetriplesine-GordonequationisobtainedbytheexistingonesoftheФ5model.Somedetailedsolitarywavesolutionsaregivenforsomespecialcoefficientswhichhavesignificanceinphysics.

简介：一种新技术，扩大的人诊所测试技术，被建议寻求integrable系统的周期的独居的波浪解决方案。古典KdV方程的准确周期的独居波浪的解决方案用这种技术被获得。这结果证明它是完全可能的为(1+1)-在那里存在的维的integrable方程一周期独居波浪。

简介：-Accordingtobasicequationsoffluidmechanics,thispaperpresentsaunifiedvariationalprincipleoffluidmechanics(UVPFM)byusingtheoptimizationmethodofweightedresiduals(OMWR).Theadvantagesareasfollows,theestablishmentofthefunctionalandthevariationalprincipleiseasy,itcanchangevariousproblemsoffluidmechanicsderivedbybasicequationsintoaunifiedoptimizationproblem,andthesolutionistheoptimumoneinsomesense.AccordingtotheOMWRforthesolitarysubdomain,thispaperusesUVPFMontoanysolitarysubdomainandgivesthesolutionofthehydrodynamicsequationwhichissuitableonlyforthatsolitarysubdomain.AccordingtotheOMWRforsolitarypoint,thispaperusesUVPFMtoanysolitarypointandgivesthesolutionofthehydrodynamicsequation(pointsolution)whichissuitableonlyforthatsolitarypoint.Asthesolutionforthesolitarysubdomainorsolitarypointisdevelopedindependently,thecompatibilitywithothersubdomainorotherpoints,do

简介：AgeneralsolutionoftheBoussinesqequationispresentedwhichsolvestheproblemofinteractionofanynumberofright-goingandleft-goingsolitarywaves.Thesolutionreliesontheexactsolu-tionofGardner,Greene,Kruskal,andMiura(1967),andhasthesamedegreeofaccuracyasthatsolution,buthasawiderscopeofapplication.Itismuchsimplerthan,butasaccurateas,Hirota’sexactsolu-tion(1973)oftheBoussinesqequation,towhichthepresentsolutioniscomparedforthesimplestcaseoftwosolitarywavesinhead-oncollision.

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简介：Theproblemsofasolitarywavepassingoverrectangularcylindershavebeenanalysed.Thenumericalsimulationisbasedonthefullnonlineartwo-dimensionalNavier-Stokesequationswhicharesolvedbythefinitedifferencemethod.ThefreesurfaceisdealtwithbytheVolumeofFluidmethod(VOF).ResultsforasolitarywavepassingoverasinglecylinderarecomparedwiththeexperimentaldataofSeabra-Santos,PenouardandTempervilleandbetteragreementisobtainedthanthoseobtainedfromthelongwaveequationbasedonthepotentialflowtheory.Resultsarealsogivenfortwocylinderswithdifferentgaps.

简介：Byusignthepotentialmethodtoafluidfilledelastictube,weobtainedasolitarywavesolution.Comparedwithrecluetiveperturbationmethod,thismethodcanbeusedforlargeramplitudesolitarywaves.Theresultisinagreementwiththatofsmallamplitudeapproximationfromreduetiveperturbationmethodwhentheamplitudeissmallenough.

简介：这篇论文为有Hamiltonian形式的联合BBM方程涉及独居的波浪的轨道的稳定性/不稳定性。明确的独居的波浪答案将首先被得出。然后由详细说明光谱分析和起始的价值问题的解决方案的腐烂的估计，我们获得独居的波浪的轨道的稳定性/instability。

简介：Inthispaper,westudytheorbitalstabilityofsolitarywavesofcompoundKdV-typeequationintheformofut+aupux+bu2pux+uxxx=0(b≥0,p>0).Ourresultsimplythatorbitalstabilityofsolitarywavesisaffectednotonlybythehighest-ordernonlineartermbu2pupx,butalsothenonlineartermauux.Forthecaseofb>0and00,whilethatunstablewhena<0.Thestabilityfornegativesolitarywaveu2(x-ct)isonthecontrary.Inparticular,wepointthatthenonlineartermwithcoefficientamakescontributestothestabilityofthesolitarywaveswhenp=2anda>0.

简介：AninhomogeneousKdVequationincludingtopographicforcingisderivedbyusingperturbationexpansionsandstretchingtransformsoftimeandspace.ThegenerationofforcedsolitaryRossbywavesbytopographyinanear-resonantflowandtheirinteractionswithfreesolitarywavesarediscussed,andsomeinterestingresultsareobtained.Thenumericalresultsshowthatthetopographyhasobviouseffectonenhancingtheamplitudeofdisturbances,anditmayexplaintosomedegreetheformationofblockingbylocalizedtopography.

简介：Basedonthetime-domainhigher-orderboundaryelementmethod（HOBEM）,atwo-dimensionalnumericalwaveflumeisdevelopedtoinvestigatesolitarywaveinteractionwithtworectangularboxeswithanarrowgap.Inthenumericalmodel,thefullynonlinearboundaryconditionsaresatisfiedonthefreesurface,themixedEulerian-Lagrangianmethodisadoptedtotrackthetransientwatersurfaceandthefourth-orderRunga-Kuttamethodisusedtopredictthevelocitypotentialandwaveelevationonthefreesurface.Theaccelerationpotentialtechniqueisusedtocomputethetransientwaveforcesalongthewettedobjectsurface.Apiston-typewavemakerisusedtogeneratesolitarywaves.Theproposedmodelisvalidatedbycomparingthesimulatedwaverun-upandthewaveloadswiththepublishedexperimentalandnumericalresultsofthereflectionofasolitarywavefromaverticalwall.Then,numericalexperimentsareperformedtostudytheeffectsofthenarrowgapandthesizeofeachboxonthewaverun-upsatthetwosidesofthetwo-boxsystemandinthenarrowgapbetweentwoboxes,andthewaveloadsonthetwoboxes.Theinteractionbetweendoublesolitarywaveswithatimeintervalbetweenthemwithatwo-boxsvstemisalsoinvestigated.

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