简介:TheextendedRiccatimappingapproachisfurtherimprovedbygeneralizedRiccatiequation,andcombineitwithvariableseparationmethod,abundantnewexactcomplexsolutionsforthe(2+1)-dimensionalmodifieddispersivewater-wave(MDWW)systemareobtained.Basedonaderivedperiodicsolitarywavesolutionandarationalsolution,westudyatypeofphenomenonofcomplexwave.
简介:Recently,therehasbeenmuchattentiondevotedtoresolvingthequantumcorrectionstotheBekenstein-Hawkingblackholeentropy.Inparticular,manyresearchershaveexpressedavestedinterestinthecoefficientofthelogarithmictermoftheblackholeentropycorrectionterm.Inthispaper,wecalculatethecorrectionvalueoftheblackholeentropybyutilizingthegeneralizeduncertaintyprincipleandobtainthecorrectiontermcaused,bythegeneralizeduncertaintyprinciple.BecauseinourcalculationwethinkthattheBekenstein-Hawkingareatheoremisstillvalidafterconsideringthegeneralizeduncertaintyprinciple,wederivethatthecoefficientofthelogarithmictermoftheblackholeentropycorrectiontermispositive.Thisresultisdifferentfromtheknownresultatpresent.Ourmethodisvalidnotonlyforfour-dimensionalspacetimesbutalsoforhigher-dimensionalspacetimes.Inthewholeprocess,thephysicsideaisclearandcalculationissimple.Itoffersanewwayforstudyingtheentropycorrectionofthecomplicatedspacetime.
简介:UsingthestandardtruncatedPainlevexpansion,theresidualsymmetryofthe(2+1)-dimensionalmodifieddispersivewater-wavesystemislocalizedintheproperlyprolongedsystemwiththeLiepointsymmetryvector.Somedifferenttransformationinvariancesarederivedbyutilizingtheobtainedsymmetries.ThesymmetriesofthesystemarealsoderivedthroughtheClarkson-Kruskaldirectmethod,andseveraltypesofexplicitreductionsolutionsrelatetothetrigonometricorthehyperbolicfunctionsareobtained.Finally,somespecialsolitonsaredepictedfromoneofthesolutions.
简介:Westudythesymmetriesofa(2+1)-dimensionalgeneralizedBroer-KaupsystembymeansoftheclassicalLiegrouptheory.Thecorrespondinggroupalgebraisconstructed.Basedonthesymmetries,severaltypesofsimilaritysolutionsareobtained.
简介:Usingafurthermodifiedextendedtanh-functionmethod,richnewfamiliesoftheexactsolutionsforthe(2+1)-dimensionalBroer-Kaup(BK)system,comprisingthenon-travelingwaveandcoefficientfunctions'soliton-likesolutions,singularsoliton-likesolutions,periodicformsolutions,areobtained.
简介:我们开发领带指数的恰当的方法的三步的明确、含蓄的计划。我们使用三步的明确的指数的适合计划预言近似,然后使用三步的含蓄的指数的适合计划改正这预言。这联合被称为指数的恰当的方法的三步的预言者修正者。指数的恰当的方法的三步的预言者修正者被使用数字地与改变系数计算联合非线性的Schroedinger方程和非线性的Schroedinger方程。数字结果证明计划是高度精确的。
简介:在这篇论文,有它比1大的参数的Chebyshev方程的答案被获得。解决方案的衍生物的起始的值是磁化的表达式,它为任何旋转量数字S是有效的。Chebyshev方程从当我们应付了海森堡模型时,获得的一个平常的微分方程被转变,以便计算磁化的所有三个部件,由许多身体格林在随机的阶段近似下面的功能。Chebyshev与比1被讨论大的争论工作。有他们比1大的参数的Chebyshev多项式有的这论文hows他们的物理申请。
简介:BasedontheGrammianandPfaffianderivativeformulae,GrammianandPfaffiansolutionsareobtainedfora(3+1)-dimensionalgeneralizedshallowwaterequationintheHirotabilinearform.Moreover,aPfaffianextensionismadefortheequationbymeansofthePfaffianizationprocedure,theWronski-typeandGramm-typePfaffiansolutionsoftheresultingcoupledsystemarepresented.
简介:Thebilinearformofthe(2+1)-dimensionalnon-isospectralAKNSsystemisderived.ItsN-solitonsolutionsareobtainedbyusingtheHirotamethod.Asareduction,a(2+1)-dimensionalnon-isospectralSchrdingerequationanditsN-solitonsolutionsareconstructed.
简介:寻求新无限的顺序象soliton一样非线性的进化方程的准确答案(旧姓)由在辅助方程方法上开发建设和机械化的二个特征,秒种椭圆形的方程高度被学习并且新类型答案和B?cklund转变被获得。(2+1)然后,维的碎soliton方程作为一个例子和它的无限的顺序被选象soliton一样准确解决方案在符号的计算系统Mathematica的帮助下被构造,它包括无限的顺序Jacobi椭圆形的类型的光滑的象soliton一样解决方案,Jacobi椭圆形的类型的无限的顺序协议soliton解决方案和指数的函数类型和三角形的功能的无限的顺序山峰soliton解决方案打字。
简介:一新(2+1)维的格子方程被介绍在联合Toda格子和相对论的Toda格子(TL-RTL)的层次在开始的二个成员之上基于方程在(1+1)尺寸。为联合TL-RTLequations的层次的Darboux转变被构造。在联合TL-RTLequations的层次的开始的二个成员的答案,以及新(2+1)维的格子方程被theDarboux明确地获得转变。