Nonlinear Longitudinal Waves in High Energy Stored Beams
Accelerator Physics
2009-10-31 v1 Pattern Formation and Solitons
patt-sol
Plasma Physics
Abstract
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.
Cite
@article{arxiv.physics/9907043,
title = {Nonlinear Longitudinal Waves in High Energy Stored Beams},
author = {Stephan I. Tzenov},
journal= {arXiv preprint arXiv:physics/9907043},
year = {2009}
}
Comments
LaTeX, 10 pages