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Solitons in collisionless cold plasma

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  • Movsesyants, Yu.B.

Abstract

The relativistic nonlinear self-consistent equations for a collisionless plasma with stationary ions are transformed into a form appropriate for finding exact analytic solutions. It is shown that for an axial system with planar geometry, the two-dimensional stationary equations for this system can be reduced to the sh-Gordon equation. The exact solution of this equation describing the charge-density equilibrium configuration is obtained, the solution having sharp transverse boundaries and a soliton form in longitudinal direction. The generalization to the nonstationary case is considered in an perturbative approach.

Suggested Citation

  • Movsesyants, Yu.B., 1987. "Solitons in collisionless cold plasma," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 140(3), pages 554-566.
    • Handle: RePEc:eee:phsmap:v:140:y:1987:i:3:p:554-566
    DOI: 10.1016/0378-4371(87)90080-X
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