Solitary Waves in an Intense Beam Propagating Through a Smooth Focusing Field

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dc.creatorTzenov, Stephan I.
dc.creatorDavidson, Ronald C.
dc.date2002-05-23
dc.date.accessioned2026-07-07T05:47:36Z
dc.date.available2026-07-07T05:47:36Z
dc.descriptionBased on the Vlasov-Maxwell equations describing the self-consistent nonlinear beam dynamics and collective processes, the evolution of an intense sheet beam propagating through a periodic focusing field has been studied. In an earlier paper [1] it has been shown that in the case of a beam with uniform phase space density the Vlasov-Maxwell equations can be replaced exactly by the macroscopic warm fluid-Maxwell equations with a triple adiabatic pressure law. In this paper we demonstrate that starting from the macroscopic fluid-Maxwell equations a nonlinear Schroedinger equation for the slowly varying wave amplitude (or a set of coupled nonlinear Schroedinger equations for the wave amplitudes in the case of multi-wave interactions) can be derived. Properties of the nonlinear Schroedinger equation are discussed, together with soliton formation in intense particle beams.
dc.descriptionLATEX, 4 pages, To be presented at the European Particle Accelerator Conference (EPAC2002)
dc.identifierhttps://arxiv.org/abs/physics/0205064
dc.identifierhttp://arxiv.org/abs/physics/0205064
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/84714
dc.subjectAccelerator Physics
dc.subjectPattern Formation and Solitons
dc.subjectPlasma Physics
dc.titleSolitary Waves in an Intense Beam Propagating Through a Smooth Focusing Field
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