The possibility of charged particle acceleration by a longitudinal wake field
excited in plasma by an electron bunch and a train of electron bunches. The
exact solution of the stationary nonlinear self-consistent interaction of a
monoenergetic relativistic bunch with cold plasma is obtained. It is shown that
under certain conditions a self-acceleration of the bunch tail electrons up to
high energies is possible.Comment: 7 pages. arXiv admin note: text overlap with arXiv:1705.0206