Variational-Wavelet Approach to RMS Envelope Equations
Accelerator Physics
2017-08-23 v1 Mathematical Physics
math.MP
Chaotic Dynamics
Computational Physics
Abstract
We present applications of variational-wavelet approach to nonlinear (rational) rms envelope equations. We have the solution as a multiresolution (multiscales) expansion in the base of compactly supported wavelet basis. We give extension of our results to the cases of periodic beam motion and arbitrary variable coefficients. Also we consider more flexible variational method which is based on biorthogonal wavelet approach.
Cite
@article{arxiv.physics/0003095,
title = {Variational-Wavelet Approach to RMS Envelope Equations},
author = {Antonina N. Fedorova and Michael G. Zeitlin},
journal= {arXiv preprint arXiv:physics/0003095},
year = {2017}
}
Comments
21 pages, 8 figures, LaTeX2e, presented at Second ICFA Advanced Accelerator Workshop, UCLA, November, 1999