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1、CylindricalCommun.Theor.Phys.(Beijing,China)46(2006)pp.313–318c?InternationalAcademicPublishersVol.46,No.2,August15,2006CylindricalKP-BurgersEquationforTwo-TemperatureIonsinDustyPlasmawithDissipativeE?ectsandTransversePerturbations?WANGYue-YueandZHANGJie-Fang?InstituteofNo
2、nlinearPhysics,ZhejiangNormalUniversity,Jinhua321004,China(ReceivedNovember7,2005;RevisedFebruary13,2006)AbstractInthispaper,thecylindricalKP-Burgersequationwithvariablecoe?cientfortwo-temperatureionsinunmagni?eddustyplasmawithdissipativee?ectsandtransverseperturbationsinc
3、ylindricalgeometryisderivedbyusingthestandardreductiveperturbationtechnique.Withthehelpofvariable-coe?cientgeneralizedprojectedRicattiequationexpansionmethod,thecylindricalKP-Burgersequationissolvedandshockwavesolutionisobtained.Thee?ectsofsomeimportantparameterstotheshock
4、wavesolutionareillustratedfromthewaveevolution?gures.Thee?ectscausedbydissipationandtransverseperturbationsarealsodiscussed.PACSnumbers:52.35.Sb,52.25.Vy,05.45.YvKeywords:dustyplasma,KP-Burgersequation,shockwave1IntroductionTheinterestindustyplasmashasbeenincreasingcon-tin
5、uouslyformanyyears.Duetothelargemassandheavychargeondustparticles,theionscanbeconsid-eredinertialessondusttemporalandspatialscaleswhicharedi?erentfromusualelectron-ionplasmas.Raohasre-portedtheexistenceofdustacousticwave(DAW)inanunmagni?eddustyplasma?rstandtheoretically.[1
6、]S.G.Tagare[2]extendedthemodelofMamumetal.[3]toadustyplasmaconsistingofcolddustparticlesandtwo-temperatureisothermalions.Howeverheneglectedthepressureofthedustparticlesandtheisothermalelec-trons.Itisimportanttonoticethat,inlaboratoryandspaceplasmas,negativelychargeddust?ui
7、dandionsoftwodi?erenttemperatures(coldandhot)arethemajorplasmaspecies,andthepressurecannotbeneglected.Iftheconditionne?zdndcannotbesatis?ed,thedistribu-tionofelectronshouldbealsoconsidered.Meanwhile,weknowthatthedustyplasmacanberegardedas?uid,soitalwayshas?nitedissipation.
8、The?uiddissipationcanbecausedby?uidviscosity,dust-ioncollision,dustcharge?uctuationandLan
