Variational-Wavelet Approach to RMS Envelope Equations

Details Variational-Wavelet Approach to RMS Envelope Equations Variational-Wavelet Approach to RMS Envelope Equations

2000-03-29

arxiv.org/abs/physics/0003095v1

Physics

Accelerator Physics

21 pages, 8 figures, LaTeX2e, presented at Second ICFA Advanced Accelerator Workshop, UCLA, November, 1999

Scientific paper

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.

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