For citation:
Ryskin N. M. Solitary space-charge waves. Izvestiya VUZ. Applied Nonlinear Dynamics, 1994, vol. 2, iss. 5, pp. 84-92.
Solitary space-charge waves
Solitary space-charge waves on a cylindrical electron beam, moving in a metal waveguide are studied. The beam is assumed to be charge-neutralized and focused by a strong external magnetic field. Exact solitary wave solutions in an implicit form are obtained and their breaking conditions are determined. Processes of solitary waves ехitation and interaction are examined numerically. Overtaking collisions, in which the waves travel in the same direction when viewed from the beam frame (i.e., collisions of two fast or two slow waves), are found to be almost elastic. On the other hand, the «head-on» collisions between two waves, which move in the opposite directions (i.e., the fast wave and the slow wave), do not preserve the waveforms and velocities and produce an oscillatory tail.
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