Localized Coherent Structures and Patterns Formation in Collective Models of Beam Motion
نویسنده
چکیده
We present applications of variational – wavelet approach to three different models of nonlinear beam motions with underlying collective behaviour: Vlasov-MaxwellPoisson 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.
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