Localized Coherent Structures and Patterns Formation in Collective Models of Beam Motion
arXiv:physics/0101007
Abstract
We present applications of variational -- wavelet approach to three different models of nonlinear beam motions with underlying collective behaviour: Vlasov-Maxwell-Poisson systems, envelope dynamics, beam-beam model. We have the representation for dynamical variables as a multiresolution (multiscales) expansion via high-localized nonlinear eigenmodes in the base of compactly supported wavelet bases. Numerical modelling demonstrates formation of coherent structures and stable patterns.
12 pages, 7 figures, ws-p8-50x6-00.cls, presented at Capri ICFA Workshop, October, 2000, replaced Fig.1