Please use this identifier to cite or link to this item: https://hdl.handle.net/10321/807
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dc.contributor.authorRajah, Surversperi Suryakumarien_US
dc.contributor.authorDoyle, T. B.en_US
dc.contributor.authorMcKenzie, J. F.en_US
dc.date.accessioned2013-01-14T10:03:56Z-
dc.date.available2013-01-14T10:03:56Z-
dc.date.issued2012-11-30-
dc.identifier.citationRajah, S.S., Doyle, T.B., and McKenzie, J.F. 2012. Nonlinear, stationary electrostatic ion cyclotron waves: exact solutions for solitons, periodic waves, and wedge shaped waveforms." Physics of Plasmas. 19, 11: 112115-1-112115-5en_US
dc.identifier.urihttp://hdl.handle.net/10321/807-
dc.description.abstractThe theory of fully nonlinear stationary electrostatic ion cyclotron waves is further developed. The existence of two fundamental constants of motion; namely, momentum flux density parallel to the background magnetic field and energy density, facilitates the reduction of the wave structure equation to a first order differential equation. For subsonic waves propagating sufficiently obliquely to the magnetic field, soliton solutions can be constructed. Importantly, analytic expressions for the amplitude of the soliton show that it increases with decreasing wave Mach number and with increasing obliquity to the magnetic field. In the subsonic, quasi-parallel case, periodic waves exist whose compressive and rarefactive amplitudes are asymmetric about the “initial” point. A critical “driver” field exists that gives rise to a soliton-like structure which corresponds to infinite wavelength. If the wave speed is supersonic, periodic waves may also be constructed. The aforementioned asymmetry in the waveform arises from the flow being driven towards the local sonic point in the compressive phase and away from it in the rarefactive phase. As the initial driver field approaches the critical value, the end point of the compressive phase becomes sonic and the waveform develops a wedge shape. This feature and the amplitudes of the compressive and rarefactive portions of the periodic waves are illustrated through new analytic expressions that follow from the equilibrium points of a wave structure equation which includes a driver field. These expressions are illustrated with figures that illuminate the nature of the solitons. The presently described wedge-shaped waveforms also occur in water waves, for similar “transonic” reasons, when a Coriolis force is included.en_US
dc.format.extent5 pen_US
dc.language.isoenen_US
dc.publisherAmerican Institute of Physicsen_US
dc.subjectMach numberen_US
dc.subjectDifferential equationsen_US
dc.subjectPlasma electrostatic wavesen_US
dc.subjectPlasma flowen_US
dc.subjectSubsonic flowen_US
dc.subjectSupersonic flowen_US
dc.subject.lcshMach numberen_US
dc.subject.lcshDifferential equationsen_US
dc.subject.lcshCyclotron wavesen_US
dc.titleNonlinear, stationary electrostatic ion cyclotron waves : exact solutions for solitons, periodic waves, and wedge shaped waveformsen_US
dc.typeArticleen_US
dc.publisher.urihttp://dx.doi.org/10.1063/1.4769031en_US
dc.dut-rims.pubnumDUT-001844en_US
dc.identifier.doihttp://dx.doi.org/10.1063/1.4769031-
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item.openairecristypehttp://purl.org/coar/resource_type/c_18cf-
item.languageiso639-1en-
item.openairetypeArticle-
item.grantfulltextopen-
item.cerifentitytypePublications-
Appears in Collections:Research Publications (Applied Sciences)
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