Exact Solutions for Dense Electron Beams with Translational Symmetry


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Abstract

Variants with generally spatial trajectories with one of the Cartesian coordinates that is cyclic for describing flows have been revealed among three-dimensional invariant solutions of the nonstationary nonrelativistic beam equations. The equations of plane solenoidal flows have been analyzed, whose solutions are not directly related to the group properties of the general beam equations.

About the authors

V. A. Syrovoi

All-Russian Research Institute of Experimental Physics, Russian Federal Nuclear Center VNIITF

Author for correspondence.
Email: red@cplire.ru
Russian Federation, Moscow, 111250

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