Nonlinear Longitudinal Waves in High Energy Stored Beams

Details Nonlinear Longitudinal Waves in High Energy Stored Beams Nonlinear Longitudinal Waves in High Energy Stored Beams

1999-07-26

arxiv.org/abs/physics/9907043v1

AIP Conf.Proc. 496 (1999) 351-360

Physics

Accelerator Physics

LaTeX, 10 pages

Scientific paper

10.1063/1.1301899

We solve the Vlasov equation for the longitudinal distribution function and
find stationary wave patterns when the distribution in the energy error is
Maxwellian. In the long wavelength limit a stability criterion for linear waves
has been obtained, and a Korteweg-de Vries-Burgers equation for the relevant
hydrodynamic quantities has been derived.

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