Localized Coherent Structures and Patterns Formation in Collective Models of Beam Motion

Antonina N. Fedorova; Michael G. Zeitlin

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Localized Coherent Structures and Patterns Formation in Collective Models of Beam Motion

Antonina N. Fedorova·Michael G. Zeitlin

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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.

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physics.acc-ph math-ph math.MP nlin.PS physics.comp-ph quant-ph

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Antonina N. Fedorova, Michael G. Zeitlin. 2001-01-05. Localized Coherent Structures and Patterns Formation in Collective Models of Beam Motion. https://arxiv.org/abs/physics/0101007

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