Solitary Waves on a Coasting High-Energy Stored Beam

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dc.creatorTzenov, S. I.
dc.creatorColestock, P. L.
dc.date1998-08-24
dc.date.accessioned2026-07-07T05:56:21Z
dc.date.available2026-07-07T05:56:21Z
dc.descriptionIn this work we derive evolution equations for the nonlinear behavior of a coasting beam under the influence of a resonator impedance. Using a renormalization group approach we find a set of coupled nonlinear equations for the beam density and the resonator voltage. Under certain conditions, these may be analytically solved yielding solitary wave behavior, even in the presence of significant dissipation in the resonator. We find long-lived perturbations, i.e. droplets, which separate from the beam and decelerate towards a quasi-equilibrium state, in good agreement with simulation results.
dc.descriptionLaTeX, 13 pages, 4 postscript figures included
dc.identifierhttps://arxiv.org/abs/physics/9808032
dc.identifierhttp://arxiv.org/abs/physics/9808032
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/87576
dc.subjectAccelerator Physics
dc.subjectPattern Formation and Solitons
dc.subjectPlasma Physics
dc.titleSolitary Waves on a Coasting High-Energy Stored Beam
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