简介：在这份报纸，我们与一条很一般的生长法律和驾驶M的散开$$\frac应付模特儿{{\partialu(t，x)}}{{\partialt}}=D\Delta(\frac{{u(t，吗x)}}{{M(t，x)}})+\mu(t，x)f(u(t，x)，M(t，x))为时间依赖者功能M的一般盒子的.$$并且????？？

简介：Avariablecoefficient,rotation-modifiedextendedKortweg-deVries(vReKdV)modelisappliedtothestudyoftheSouthChinaSea(SCS),withfocusontheeffectsofthehigh-order(cubic)nonlinearityandtherotationonthedisintegrationprocessoflarge-amplitude(170m)InternalSolitaryWaves(ISWs)andthesemi-diurnalinternaltidepropagatingfromthedeepbasinstationtotheslopeandshelfregionsinacontinuouslystratifiedsystem.Thenumericalsolutionsshowthatthehigh-ordernonlinearitysigni-ficantlyaffectsthewaveprofilebyincreasingthewaveamplitudeandthephasespeedinthesimulatedarea.ItisshownthattheinitialKdV-typeISWwilldecayfasterwhentherotationdispersionisconsidered,howeverthewaveprofiledoesnotchangesignificantlyandtherotationeffectisnotimportant.Thesimulationsofthesemi-diurnalinternaltideindicatethatthephaseofthewaveprofileisshiftedearlierwhentherotationeffectisincluded.Asolitarywavepacketemergesontheshelf,andthewavespeedisalsogreaterwhenconsideringtherotationdispersion.Inaddition,theeffectsofthebackgroundcurrentsarediscussedfurtherinthispaper.ItisfoundthatthebackgroundcurrentsgenerallychangethemagnitudeandoccasionallychangethesignofthenonlinearcoefficientsinthenorthernSCS.

简介：Theconservationlawsforthe(1+2)-dimensionalZakharov–Kuznetsovmodifiedequalwidth(ZK-MEW)equationwithpowerlawnonlinearityareconstructedbyusingNoether’sapproachthroughaninterestingmethodofincreasingtheorderofthisequation.Withtheaidofanobtainedconservationlaw,thegeneralizeddoublereductiontheoremisappliedtothisequation.ItcanbeshownthatthereducedequationisasecondordernonlinearODE.Finally,someexactsolutionsforaparticularcaseofthisequationareobtainedaftersolvingthereducedequation.