Variational-Wavelet Approach to RMS Envelope Equations

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.

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

References in corpus (1)

• Nonlinear Dynamics of Accelerator via Wavelet Approach

Cited by in corpus (4)

• Localization and Fusion Modeling in Plasma Physics. Part I: Math Framework for Non-Equilibrium Hierarchies
• Localization and Coherent Structures in Wave Dynamics via Multiresolution
• Nonlinear Motion in Electromagnetic Fields via Multiscale Expansions
• Localization and Fusion Modeling in Plasma Physics. Part II: Vlasov-like Systems. Important Reductions